Quiz about Unit 5 Test Review

Question 1

Simplify the expression. $$\left(-2x^8\right)\left(-7x^2\right)$$

Accepted Answer

$$14𝑥^{10}$$

Answer

$$−14𝑥^8$$

Answer

$$-14x^6$$

Answer

$$14x^{16}$$

Question 2

Simplify the expression $$\left(7x^2 ight)^{ ext{4}}$$

Accepted Answer

$$2401x^8$$

Answer

$$49x^8$$

Answer

$$2401x^{10}$$

Answer

$$49x^6$$

Question 3

Simplify the expression. $$\frac{14}{x^{-8}}$$

Accepted Answer

$$14x^8$$

Answer

$$\frac{x^8}{-14}$$

Answer

$$14x^{-8}$$

Answer

$$-14x^8$$

Question 4

Which equation has the greatest growth rate?

Accepted Answer

$$f\left(x\right)=2\left(7\right)^x$$

Answer

$$f\left(x\right)=3\left(5\right)^x+6$$

Answer

$$f\left(x\right)=7\left(2\right)^x$$

Answer

$$f\left(x\right)=5\left(3\right)^x+6$$

Question 5

What is the domain of the function

$$fx=2\left(0.9\right)^x+12$$

?

Accepted Answer

$$-\infty<x<\infty$$

Answer

$$2<x<\infty$$

Answer

$$-\infty<x<12$$

Answer

$$0.9<x<\infty$$

Question 6

Which exponential function is graphed?

Accepted Answer

$$f\left(x\right)=3^x$$

Answer

$$f\left(x\right)=1^x$$

Answer

$$f\left(x\right)=2^x$$

Answer

$$f\left(x\right)=4^x$$

Question 7

Which exponential decay function has the slowest rate of decay?

Accepted Answer

$$g\left(x\right)=100\left(1.5\right)^{-x}$$

Answer

$$f\left(x\right)=100\left(-2\right)^x$$

Answer

$$h\left(x\right)=100\left(2\right)^{-x}$$

Answer

$$d\left(x\right)=100\left(3\right)^{-x}$$

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