Exponential Quiz Review

Select all the exponential functions that have a y-intercept of $\left(0,\ -5\right)$ 

(Hint: Let x = 0 and evaluate for y)

•  $y=-1\cdot5^x$  

•  $y=-5\cdot2^x$  

•  $y=3\left(\frac{1}{2}\right)^x-8$  

•  $y=4\left(\frac{4}{5}\right)^{\left(x-1\right)}$  

•  $y=-6^{\left(x+1\right)}+1$  

Which of the following statements are true about the function below? Select all that apply.

 $f\left(x\right)=0.5\left(2\right)^x-1$  

• The function represents exponential growth

• The y-intercept is  $\left(0,\ 0.5\right)$  

• The horizontal asymptote is  $y=-1$  

• The domain is all real numbers  $\left(-\infty,\ \infty\right)$  

• The range is all real numbers  $\left(-\infty,\ \infty\right)$  

Describe the transformation of

f(x)=-2(3)^x+4 - 8 ?

• right 4, down 8, stretch by a factor of 2, reflect over x-axis

• left 4, down 8, stretch by a factor of 2, reflect over x-axis

• left 4, up 8, compress by a factor of -2

• right 4, down 8, stretch by a factor of 2, reflect over x-axis

Is the function increasing, decreasing, neither, or both?

• increasing

• decreasing

• neither

• both

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

An exponential decay function increases, decreases, neither, or both?

• increases

• decreases

• neither

• both

Look at the graph and answer each question.

Is it a growth or decay?

What is the y-intercept?

What is the asymptote?

• Growth

  y-intercept: (0, 5)

  asymptote: y = 0

• Decay

  y-intercept: (0, 5)

  asymptote: y = 0

• Growth

  y-intercept: (0, 5)

  asymptote: y = 5

• Decay

  y-intercept: (5, 0)

  asymptote: x = 0