(02/05) 4th Pd. Graphing Exponential Function Quiz

What is the domain and range of the function y=2^x ?

Use the graph to help!

• Domain: (−∞,∞)

  Range: (0,∞)

• Domain: (−∞,∞)

  Range: (1,∞)

• Domain: (−2,∞)

  Range: (0,∞)

• Domain: (−∞,∞)

  Range: (−∞,0)

For  $f\left(x\right)=4\cdot3^x$ , find the correct graph, asymptote, domain and range.

• 
• 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

This is an example of....

• an increasing exponential function

• a decreasing exponential function

• an increasing linear function

• none of the above

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

This is an example of.....

• exponential decay

• exponential growth

• constant change

• a linear function

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

Classify
 f(x)=4/5(.8)^x-9

• Exponential Growth
• Exponential Decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

What transformations have occurred on the graphs from the parent function to the transformed function? 

** Use the grap given!!

• Reflection across the y-axis, shrink by a factor of 3, horizontal shift left 7 

• Reflection across the asymptote, horizontal shift right 3, vertical shift down 7 

• Reflection across the asymptote, stretch by a factor of 3, vertical shift down 7 

• Stretch by a factor of 3, vertical shift down 7 

What is the transformation of

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

• Reflection over x-axis

  Vertical shrink by 1/3

  Up 3

• Vertical shrink by 1/3

  Up 3

• Reflection over x-axis

  Vertical stretch by 2

  Up 3

• Vertical stretch by 2

  Up 3

What is the horizontal asymptote of the exponential function?

• y = 0

• y = 3

• x = 0

• x = 3

Tags

CCSS.HSF-IF.C.7E

• The end behavior of the graph is x →∞, f(x) →⁻∞ and x →⁻∞, f(x) →⁻∞

• The end behavior of the graph is x →∞, f(x) →∞ and x→⁻∞, f(x) →∞

• The end behavior of the graph is x →∞, f(x) →∞ and x→⁻∞, f(x) →2

• The end behavior of the graph is x →∞, f(x) →2 and x→⁻∞, f(x) →∞

Which function below has a different asymptote than the other functions?

• $d\left(x\right)=e^x+3$

• $e\left(x\right)=e^{x-3}+3$

• $f\left(x\right)=e^{x+6}+7$

• $g\left(x\right)=e^x+3$

Answer explanation

y=k