AnswersAlgebra 2 with ProbabilityMonomial Functions

Monomial Functions — Quiz Answers

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1
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Which statement describes the function y is equal to A x to the n th power when A is equal to 1 and n is even?

A
The graph opens down.
B
The graph is symmetric about the x -axis.
C
The graph passes through open paren negative 1 comma 1 close paren , open paren 0 comma 0 close paren , and open paren 1 comma 1 close paren .
D
The graph has more than one x -intercept.
2
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Which function is symmetric with respect to the y -axis?

A
y is equal to 2 x to the 7th power
B
y is equal to negative 2 x cubed
C
y is equal to negative x to the 5th power
D
y is equal to 3 x to the 6th power
3

Which is the graph of an odd monomial function?

A
Image with description On a coordinate plane with x and y axes listed from negative 8 to 8 with an increment of 1, a curved graph is drawn. It passes through (negative 3 comma negative 6) and (negative 2 comma 0), curves to the right, crosses the y axis at (0 comma 2) and continues to curve to the right. It then passes through (2 comma 5).
B
Image with description On a coordinate plane with x and y axes listed from negative 8 to 8 with an increment of 1, a parabola is drawn. It opens upwards and has its vertex at the origin (0 comma 0). It passes through (negative 4 point 5 comma 6), (negative 3 comma 3), (3 comma 3) and (4 point 5 comma 6).
C
Image with description On a coordinate plane with x and y axes listed from negative 8 to 8 with an increment of 1, a curved graph is drawn. It passes through (negative 1 comma 2), curves to the right, passes through the origin and curves to the left and passes through (1 comma negative 2).
D
Image with description On a coordinate plane with x and y axes listed from negative 8 to 8 with an increment of 1, a curved graph is drawn. It passes through (1 comma negative 7), curves to the right, crosses the x axis at (4 comma 0) and continues to curve to the right. It then passes through (7 comma 7).
4

Which function is symmetric with respect to the origin?

A
y is equal to negative 2 x to the 8th power
B
y is equal to negative x to the 4th power
C
y is equal to 3 x to the 14th power
D
y is equal to x to the 9th power
5

Which is the graph of an even monomial function?

A
Image with description On a coordinate plane with x and y axes listed from negative 8 to 8 with an increment of 1, there is a curved graph. It passes through (negative 2 comma negative 8), bends to the right and passes through the origin and curves to the left and passes through (2 comma 8).
B
Image with description On a coordinate plane with x and y axes listed from negative 8 to 8 with an increment of 1, there is a parabola that opens upwards and has its vertex at (0 comma negative 4). It passes through (negative 2 comma 4) and (2 comma 4).
C
Image with description On a coordinate plane with x and y axes listed from negative 8 to 8 with an increment of 1, there is a curved graph in the shape of W. It passes through (negative 2 point 5 comma 8), crosses the x axis at (negative 2 comma 0) and bends three times at (negative 1 point 5 comma negative 2), (0,0) and (1 point 5 comma negative 2). It then crosses the x axis at (2 comma 0) and passes through the point (2 point 5 comma 8).
D
Image with description On a coordinate plane with x and y axes listed from negative 8 to 8 with an increment of 1, there is a parabola that opens upwards and passes through the origin. It passes through (negative 2 comma 6) and (2 comma 6).
6

Which monomial function, y is equal to A x to the n th power , is described by the following statements? As x is greater than 0 increases, f of x decreases. As x is less than 0 decreases, f of x decreases.

A
odd monomial function with positive A
B
odd monomial function with negative A
C
even monomial function with negative A
D
even monomial function with positive A
7

Which monomial function, y is equal to A x to the n th power , is described by the following statements? As x is greater than 0 increases, f of x increases. As x is less than 0 decreases, f of x decreases.

A
odd monomial function with positive A
B
even monomial function with negative A
C
odd monomial function with negative A
D
even monomial function with positive A
8

Which is an even monomial function?

A
y is equal to 10 x squared plus 8 x
B
y is equal to negative x to the 10th power
C
y is equal to 2 x to the negative 6 power
D
y is equal to 4 x
9

Which of the following could be the graph of y is equal to x to the n th power where n is even?

A
Image with description On a coordinate plane, x-axis is labeled with "x" ranges from negative 7 to 7 in increment of 1 and y-axis is labeled with "y" ranges from negative 7 to 7 in increment of 1. The curve with arrows at both ends, indicating it extends infinitely. On the left, it rises sharply from the lower part of the third quadrant near "negative 2 comma negative 7", curving upwards as it moves right. It passes through the point "negative 1 comma negative 1", then flattens significantly as it approaches the origin, crossing "0 comma 0" horizontally. Continuing to the right into the first quadrant, it passes through "1 comma 1" and then bends upwards, raising sharply toward the top of the grid near "2 comma 7".
B
Image with description On a coordinate plane, x-axis is labeled with "x" ranges from negative 7 to 7 in increment of 1 and y-axis is labeled with "y" ranges from negative 7 to 7 in increment of 1. The graph displays a symmetric, inverted u-shaped curve with arrows at both ends pointing downwards. Its highest point, or vertex, is located at the origin "0 comma 0". From the vertex, the curve slopes downward symmetrically to both the left and the right. It passes through the points "negative 1 comma negative 1" and "1 comma negative 1", extending downwards towards "y equals negative 7".
C
Image with description On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi in increment of pi and the y axis ranges from negative 1 to 7 in increment of 1. A central downward-opening parabolic branch has its local maximum vertex at "0 comma 2", with its arms extending vertically downward toward y equals negative 2. Two upward-opening parabolic branches sit above, each with a local minimum vertex at approximately "negative pi comma 4" and "pi comma 4", with their arms extending upwards toward y equals 6. Disconnected fractional vertical curve fragments with arrows are visible near the outer boundaries at x equals negative 2 pi and x equals 2 pi.
D
Image with description On a coordinate plane, x-axis is labeled with "x" ranges from negative 7 to 7 in increment of 1 and y-axis is labeled with "y" ranges from negative 7 to 7 in increment of 1. The curve with arrows at both ends, indicating it extends infinitely. On the left, it rises sharply from the upper part of the second quadrant near "negative 2 comma 7", curving downwards as it moves right. It passes through the point "negative 1 comma 1", then flattens significantly as it approaches the origin, crossing "0 comma 0" horizontally. Continuing to the right into the fourth quadrant, it passes through "1 comma negative 1" and then bends downward, dropping steeply toward the bottom of the grid near "2 comma negative 7".
10

Which is an odd monomial function?

A
y is equal to 1 over x
B
y is equal to 2 x cubed
C
y is equal to 5 x to the negative 9 power
D
y is equal to 3

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