Quiz: Graphing/Characteristics of Exponentials

In the following exponential function, what does the  $-1$ mean?
 $f\left(x\right)=4^{x+2}-1$  

• Horizontal translation right 1 unit.

• Horizontal translation left 1 unit.

• Vertical translation down 1 unit.

• Vertical translation up 1 unit.

Tags

CCSS.HSF.BF.B.3

What is the asymptote for the following exponential function?
 $f\left(x\right)=4^{x+2}-1$  

•  $y=-1$  

•  $x=-1$  

•  $y=2$  

•  $x=2$  

Tags

CCSS.HSF-IF.C.7E

 Is this function an exponential growth or exponential decay?
 $f\left(x\right)=4^{x+2}-1$ 

• Exponential Growth

• Exponential Decay

• You can't tell from an equation.

Tags

CCSS.HSF-IF.C.8B

What horizontal translation occurred in the following exponential function?
 $f\left(x\right)=-2^{x+3}+9$  

• Shifted right 3 units.

• Shifted left 3 units.

• Shifted up 9 units.

• Shifted down 9 units.

Tags

CCSS.HSF.BF.B.3

What is the range for the following exponential function?
 $f\left(x\right)=-2^{x+3}+9$  

•  $\left(-\infty,\infty\right)$  

•  $\left(9,\ \infty\right)$  

•  $\left(-\infty,\ 9\right)$  

•  $\left(9,\ -\infty\right)$  

Does the following exponential function have a stretch or a shrink? If it does, state the scale factor.
 $f\left(x\right)=-2^{x+3}+9$  

• Vertical shrink of scale factor 2.

• Vertical shrink of scale factor -2.

• Vertical stretch of scale factor 2.

• There is no stretch/shrink because the "a" value is 1.

Tags

CCSS.HSF.BF.B.3

What signifies that the exponential function reflected across the y-axis?

• If there is a negative in front of the "a" value.

• If there is a negative in front of the "h" value.

• If there is a negative in front of the "x".

• If there is a negative in front of the "k" value.

Tags

CCSS.HSF.BF.B.3

Did the following exponential function reflect over the x-axis, y-axis, both or neither?
 $f\left(x\right)=-2^{x-1}-6$  

• It reflected over the x-axis.

• It reflected over the y-axis.

• It reflected over both the x- and y-axis.

• No reflection occurred.

Tags

CCSS.HSF.BF.B.3

 Is this function an exponential growth or exponential decay?
 $f\left(x\right)=-2^{x-1}-6$ 

• Exponential Growth

• Exponential Decay

• You can't tell from an equation.

Tags

CCSS.HSF-IF.C.8B

Which statement is NOT true in regards to the following exponential function?
 $f\left(x\right)=3\left(2\right)^x+9$ 

• The function moved up 9 units from the parent function.

• The common ratio for the function is 2.

• The function was vertically stretched by a scale factor of 3.

• The function moved left 9 units from the parent function.

Tags

CCSS.HSF.BF.B.3