Key Features of Exponentials

What is the range of this graph?

• y = 6
• (0, -4)
• y > -6
• y < -6

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2
• 4
• (2)^x
• 8

Given the function

 $g\left(x\right)=2\left(4\right)^x+3$ , what is the horizontal asymptote? 

•  $y=4$  

•  $y=2$  

•  $y=-3$  

•  $y=3$  

Which equation models the graph?

• $y=1+2x$

• $y=2x$

• $y=1\cdot2^x$

• $y=2\cdot1^x$

Which of the following statements is true about the graph of the equation above?

• The equation of the asymptote is y=0.

• The range is all real numbers less than 0.

• The coordinates of the x-intercept are (0,.25)

• The graph has a vertical asymptote.

What is the initial value (y-intercept) of the function?

• 2

• 3

• 1

• -2

Which of the following statement about the graph of y=6(.5)^x is TRUE?

• The equation of the asymptote is x=0.

• The y-intercept is at 6

• The graph is increasing

• The graph will never cross the y axis

What is the asymptote of the function?

• x = 1

• y = 1

• x = -8

• y = 0

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