Quiz about Exponentials Exit Slip

Question 1

Identify the equation of the asymptote:

$$g\left(x\right)=5^{x-4}-2$$

Accepted Answer

$$y=-2$$

Answer

$$x=4$$

Answer

$$x=-4$$

Answer

$$y=2$$

Question 2

Identify the domain of the function:

$$w\left(x\right)=e^{-x}+1$$

Accepted Answer

$$\left(-\infty,\ \infty\right)$$

Answer

$$\left(0,\ \infty\right)$$

Answer

$$\left(-1,\ \infty\right)$$

Answer

$$\left(1,\ \infty\right)$$

Question 3

Identify the range of the function:

$$p\left(x\right)=-e^x+3$$

Accepted Answer

$$\left(-\infty,\ 3\right)$$

Answer

$$\left(-\infty,\ \infty\right)$$

Answer

$$\left(3,\ \infty\right)$$

Answer

$$\left[0,\ \infty\right)$$

Question 4

Which equation gives the graph of

$$f\left(x\right)=2^x$$ after a vertical stretch by 3 and a reflection over the y-axis?

Accepted Answer

$$d\left(x\right)=3\left(2\right)^{-x}$$

Answer

$$a\left(x\right)=-\frac{1}{3}\left(2\right)^x$$

Answer

$$b\left(x\right)=\frac{1}{3}\left(2\right)^{-x}$$

Answer

$$c\left(x\right)=-3\left(2\right)^x$$

Question 5

Identify the transformation that turns the graph of

$$k\left(x\right)=3^x$$ into the graph of $$m\left(x\right)=3^{x-1}$$ .

Accepted Answer

Horizontal shift right 1

Answer

Horizontal shift left 1

Answer

Vertical shift up 1

Answer

Vertical shift down 1

Question 6

Which equation gives the graph of

$$f\left(x\right)=2^x$$ after a vertical shrink by 1/3 and a reflection over the x-axis?

Accepted Answer

$$a\left(x\right)=-\frac{1}{3}\left(2\right)^x$$

Answer

$$b\left(x\right)=\frac{1}{3}\left(2\right)^{-x}$$

Answer

$$c\left(x\right)=-3\left(2\right)^x$$

Answer

$$d\left(x\right)=3\left(2\right)^{-x}$$

Question 7

Which expression has a positive value?

Accepted Answer

$$\left(-3\right)^4$$

Answer

$$-3^4$$

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