Rate of Change — Unit test Answers

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The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?

f(x ) = x – |42.67|

f(x ) = |x| – 42.67

f(x ) = |42.67 – x|

f(x ) = 42.67 – |x|

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What is the vertex of the absolute value function below?

(4, –1)

(1, –4)

(1, 4)

(4, 1)

Which graph represents y – 1 = 2(x – 2)?

Option

When is solved for w, one equation is Which of the following is an equivalent equation to find w?

w = StartFraction 8 x squared + 2 y Over y EndFraction

w = StartFraction 8 x squared minus 2 y Over y EndFraction

w = 8 x squared minus 3 y

w = 8 x squared minus y

The formula for the area of a trapezoid is When this equation is solved for , one equation is . Which of the following is an equivalent equation to find ?

b Subscript 1 Baseline= StartFraction 2 A minus b Subscript 2 Baseline h Over h EndFraction

b Subscript 1 Baseline = 2 A minus b Subscript 2 Baseline h

b Subscript 1 Baseline= StartFraction h Over 2 A minus b Subscript 2 Baseline h EndFraction

b Subscript 1 Baseline = h (2 A minus b Subscript 2 Baseline h)

Which of the following is an even function?

g(x) = (x – 1)2 + 1

g(x) = 2x2 + 1

g(x) = 4x + 2

g(x) = 2x

The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the cost of the sandwiches when n is 3?

$18

$21

$27

$48

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

x3 – x2

–x3 + x2

–x3 + x2 – 1

x3 – x2 + 1

Which of the following is an odd function?

f(x) = x3 + 5x2 + x

f (x) = StartRoot x EndRoot

f(x) = x2 + x

f(x) = –x

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

(ab)(x)

(StartFraction a Over b EndFraction) (x)

(a – b)(x)

(a + b)(x)

The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?

The value of the comic book decreased by a total of $0.04 between m = 36 and m = 60.

The value of the comic book increased by a total of $0.04 between m = 36 and m = 60.

The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.

The value of the comic book increased by an average of $0.04 each month between m = 36 and m = 60.

Which function is most likely graphed on the coordinate plane below?

f(x) = 3x – 11

f(x) = –4x + 12

f(x) = 4x + 13

f(x) = –5x – 19

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

Since the function is even, the outputs of a negative y-value and a positive y-value are the same.

The graph has rotational symmetry, so the point will be reflected across the y-axis.

The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?Time Elapsed (Hours)Miles Traveled (Miles)0.502.000.753.501.004.75

4.75 miles per hour

5.00 miles per hour

5.50 miles per hour

6.00 miles per hour

If f(x) = 7 + 4x and , what is the value of ?

Eleven-halves

StartFraction 27 Over 10 EndFraction

160

270

Which graph represents an odd function?

There are 6 points on a coordinate plane. The points are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1).

There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4).

There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0)

There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).

A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?

15.15 oz to 16.00 oz

15.85 oz to 16.00 oz

15.85 oz to 16.15 oz

16.15 oz to 16.45 oz

Given , what is the average rate of change in f(x) over the interval [1, 5]?