Monomial Functions

Question 1

On the calculator, graph several monomial functions where a = 1 and n is even. For example, y = x4, y = x6, y = x8, and so on. Trace along the functions, then check all of the statements that are true about all of these functions.

Revolt · Accepted Answer

The graph opens up.; The graph passes through (0, 0).; The graph is symmetric about the y-axis.; The graph only has 1 x-intercept.; The graph only has 1 y-intercept.

Question 2

As x < 0 decreases, f(x) .

Revolt · Accepted Answer

increases

Question 3

For even monomial functions y = axn where a 0 increases, f(x) .

Revolt · Accepted Answer

decreases

Question 4

As x < 0 decreases, f(x) .

Revolt · Accepted Answer

decreases

Question 5

For even monomial functions y = axn where a > 0:As x > 0 increases, f(x) .

Revolt · Accepted Answer

increases

Question 6

Graph several monomial functions where a = 1 and n is odd. For example, y = x3, y = x5, y = x7, and so on. Trace along the functions, then check all of the statements that are true about all of these functions.

Revolt · Accepted Answer

The graph passes through (0, 0).; The graph is symmetric about the origin.; The graph has only 1 x-intercept.; The graph has only 1 y-intercept.

Question 7

For odd power functions, a > 0:As x > 0 increases, f(x) .

Revolt · Accepted Answer

increases

Question 8

As x < 0 decreases, f(x) .

Revolt · Accepted Answer

decreases

Question 9

For odd power functions, a 0 increases, f(x) .

Revolt · Accepted Answer

decreases

Question 10

As x < 0 decreases, f(x) .

Revolt · Accepted Answer

increases

Monomial Functions Answers

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