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Assuming only positive domain values, which statement is true of the graph that represents the total cost, y , in dollars for shipping items that weigh x ounces?

The range values for the set of the data are 10 , 14 , 17 , and 21 .

The left side of each horizontal interval is a closed circle, and the right side is an open circle.

For every 1 -ounce increase in weight, the total shipping cost increases by 3 point 7 5 dollars .

The graph is discontinuous at x is equal to 5 , x is equal to 10 , and x is equal to 15 .

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What is the equation of the graph?

y is equal to cosine of 5 x

y is equal to cosine of 0 point 4 x

y is equal to cosine of open paren x over 0 point 4 close paren

y is equal to cosine of open paren x over 5 close paren

What are the limits, if they exist? limit x to 0 raised to the negative power of f times x and limit x to 0 raised to the plus power of f times x

limit x to 0 raised to the negative power of f times x is equal to 0 and limit x to 0 raised to the plus power of f times x is equal to 1

limit x to 0 raised to the negative power of f times x DNE and limit x to 0 raised to the plus power of f times x is equal to 0

limit x to 0 raised to the negative power of f times x DNE and limit x to 0 raised to the plus power of f times x DNE

limit x to 0 raised to the negative power of f times x is equal to 1 and limit x to 0 raised to the plus power of f times x is equal to 0

Which statement about the graph is true?

The amplitude of the graph is 2 units.

The period of the graph is 2 pi over 3 .

The graph represents a reflection over the x -axis of the function y is equal to 3 sine 2 x .

The domain of the graph is from negative 3 to 3 and is inclusive.

In the given diagram, tangent theta is equal to square root of 3 What is the value of m ?

the fraction with numerator square root of 3 and denominator 2

square root of 3

2 square root of 3

the fraction with numerator square root of 3 and denominator 3

What is the vertical shift of the graph of the parent cosecant function to the graph of the function shown?

3 units down

1 unit down

4 units down

2 units down

How many roots of f of x are rational numbers?

Which statement is true?

There is an asymptote at x is equal to 3 and a hole at x is equal to negative 1 .

There is a hole at x is equal to 3 and an asymptote at x is equal to negative 1 .

There is a hole at x is equal to 3 and no asymptote.

There is an asymptote at x is equal to negative 1 and no hole.

Consider the function f of x is equal to the fraction with numerator x squared minus 12 x plus 20 and denominator x minus 2 Which statement describes whether the function is continuous at x is equal to 2 ?

The function is not continuous at x is equal to 2 because limit x to 2 of f times x does not equal f of 2 .

The function is not continuous at x is equal to 2 because f of 2 does not exist.

The function is continuous at x is equal to 2 because f of 2 exists.

The function is continuous at x is equal to 2 because limit x to 2 of f times x exists.

Consider the function g of x is equal to the fraction with numerator x squared plus 7 x minus 18 and denominator x squared plus 2 x minus 8 Which type of discontinuity does the function have at x is equal to negative 4 ?

infinite

mixed

jump

removable

In the triangle, 8 over 15 represents which ratio? Expand Image

tangent cap c

tangent cap b

cosine cap c

sine cap b

Which transformations are needed to change the parent sine function to y is equal to 1 fourth sine open paren 4 times open paren x plus pi over 6 close paren close paren ?

vertical compression of 1 fourth , horizontal compression to a period of pi over 2 , phase shift of pi over 6 units to the left

vertical stretch of 4 , horizontal stretch to a period of 8 pi , phase shift of pi over 6 units to the right

vertical compression of 4 , horizontal compression to a period of pi over 4 , phase shift of pi over 6 units to the right

vertical stretch of 1 fourth , horizontal stretch to a period of 2 pi , phase shift of pi over 6 units to the left

One root of f of x is equal to x cubed plus 10 x squared minus 25 x minus 250 is x is equal to negative 10 What are all the roots of the function? Use the Remainder Theorem.

x is equal to negative 25 , x is equal to 1 , or x is equal to 10

x is equal to negative 10 or x is equal to 5

x is equal to negative 25 or x is equal to 10

x is equal to negative 10 , x is equal to negative 5 , or x is equal to 5

Given that tangent squared theta is equal to 3 eighths , what is the value of secant theta ?

8 thirds

11 eighths

plus or minus square root of 8 thirds

plus or minus square root of 11 eighths

Which equation describes a rational function with x -intercepts at negative 4 and 2 , a vertical asymptote at x is equal to 1 and x is equal to negative 1 , and a horizontal asymptote at y is equal to negative 3 ?

f of x is equal to the fraction with numerator x squared minus 1 and denominator negative 3 open paren x minus 4 close paren open paren x plus 2 close paren

f of x is equal to the fraction with numerator negative 3 open paren x minus 4 close paren open paren x plus 2 close paren and denominator x squared minus 1

f of x is equal to the fraction with numerator negative 3 open paren x plus 4 close paren open paren x minus 2 close paren and denominator x squared minus 1

f of x is equal to the fraction with numerator x squared minus 1 and denominator negative 3 open paren x plus 4 close paren open paren x minus 2 close paren

Which graph represents the following piecewise defined function? f of x equals enlarged left-brace first row negative 2 x comma x less than negative 1. Second row negative 1 comma negative 1 less than or equal to x less than 2. Third row x minus 1 comma x greater than or equal to 2.

Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 by 1, and the y-axis ranges from negative 3 to 7 by 1. The graph has 2 rays and a line segment. A ray in the first quadrant has an open circle at (2 comma 1), passes through (3 comma 2), and terminates at (4 comma 3). The second ray is in the second quadrant with an open circle at (negative 1 comma 2), passes through (negative 2 comma 4), and terminates at (negative 3 comma 6). A line segment is parallel to the x-axis and lies below the x-axis. It has an open circle at (negative 1 comma negative 2) and a closed circle at (1 comma negative 2).

Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 by 1, and the y-axis ranges from negative 3 to 7 by 1. The graph has 2 rays and a line segment. A ray in the first quadrant has a filled-in circle at (2 comma 1), passes through (3 comma 2), and terminates at (4 comma 3). The second ray is in the second quadrant with an open circle at (negative 1 comma 2), passes through (negative 2 comma 4), and terminates at (negative 3 comma 6). A line segment is parallel to the x-axis and lies below the x-axis. It has a filled-in circle at (negative 1 comma negative 1) and an open circle at (2 comma negative 1).

Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 by 1. The graph has 2 rays and a line segment. A ray starts at (2 comma negative 1), intersects the x-axis at (3 comma 0), and terminates at (4 comma 1). Another ray starts at (negative 1 comma negative 1), intersects the x-axis, goes through (negative 2 comma 1), and terminates at (negative 3 comma 3). A line segment is parallel to the x-axis and lies below the x-axis. It has a filled-in circle at (negative 1 comma negative 1) and a closed circle at (2 comma negative 1).

Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 by 1. The graph has 2 rays and a line segment. A ray starts at (2 comma negative 1), intersects the x-axis at (3 comma 0), and terminates at (4 comma 1). Another ray starts at (negative 1 comma negative 1), intersects the x-axis, goes through (negative 2 comma 1), and terminates at (negative 3 comma 3). A line segment is parallel to the x-axis and lies below the x-axis. It has an open circle at (negative 1 comma negative 1) and an open circle at (2 comma negative 1).

Which step is included in the graph of the function f of x is equal to lceil x minus 1 rceil ?

y is equal to negative 5 for negative 4 is less than x comma x is less than or equal to negative 3

y is equal to negative 2 for negative 2 is less than x comma x is less than or equal to negative 1

y is equal to negative 5 for negative 4 is less than or equal to x comma x is less than negative 3

y is equal to negative 2 for negative 2 is less than or equal to x comma x is less than negative 1

For the expression the fraction with numerator 9 x squared minus 8 and denominator open paren 3 x squared plus 4 close paren squared , which sum represents the correct form of the partial fraction decomposition?

the fraction with numerator cap A x plus cap b and denominator 3 x squared plus 4 plus the fraction with numerator cap c x plus cap d and denominator open paren 3 x squared plus 4 close paren squared

the fraction with numerator cap A and denominator 3 x squared plus 4 plus the fraction with numerator cap b and denominator open paren 3 x squared plus 4 close paren squared

the fraction with numerator cap A and denominator open paren 3 x squared plus 4 close paren squared plus the fraction with numerator cap b and denominator open paren 3 x squared plus 4 close paren squared

the fraction with numerator cap A x plus cap b and denominator open paren 3 x squared plus 4 close paren squared plus the fraction with numerator cap c x plus cap d and denominator open paren 3 x squared plus 4 close paren squared

Which of the following is the graph of the function y is equal to 4 cosecant x ?

Image with description On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (5 pi by 2 comma 4) and (pi by 2 comma 4) and y equals negative 4 at (3 pi by 2 comma negative 4) and (negative pi by 2 comma negative 4).

Image with description On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (9 pi by 5 comma 4) and (pi by 5 comma 4) and y equals negative 4 at (14 pi by 5 comma negative 4) and (negative 4 pi by 5 comma negative 4).

Image with description On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals negative 3 at (pi by 2 comma negative 3) and (negative 3 pi by 2 comma negative 3) and y equals negative 5 at (3 pi by 2 comma negative 5) and (negative pi by 2 comma negative 5).

Image with description On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 5 at (pi by 2 comma 5) and (negative 3 pi by 2 comma 5) and y equals negative 3 at (3 pi by 2 comma 3) and (negative pi by 2 comma 3).

To produce the graph of the function y is equal to 0 point 5 cotangent 0 point 5 x , what transformations should be applied to the graph of the parent function y is equal to cotangent of x ?

a horizontal compression to produce a period of pi over 2 and a vertical stretch

a horizontal stretch to produce a period of 2 pi and a vertical stretch

a horizontal compression to produce a period of pi over 2 and a vertical compression

a horizontal stretch to produce a period of 2 pi and a vertical compression

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