Exponential Functions Key Features

Which equation best represents the graph above?

• f(x)=5(.5)^x

• f(x)=10(.25)^x

• f(x)=10(5)^x

• f(x)=10(.75)^x

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

What type of function is y = 7(5/4)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

What is the domain of y=2^x?

• x>0

• x=all real numbers

• y>0

• y=all real numbers

What is the range of y=2^x?

• x>0

• x=all real numbers

• y>0

• y=all real numbers

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit

• Horizontal shift right one unit

• Vertical shift up one unit

• Vertical shift down one unit

• 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 

Describe the transformation of y = 2^x - 3

• left 3

• down 3

• up 3

• right 3

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

What is the end behavior of the function

•  x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

• x →∞, y→∞ and x→⁻∞, y→∞

• x →∞, y→∞ and x→⁻∞, y→2

•  x →∞,y→2 and x→⁻∞, y→∞