Key features & transforming exponential functions

What is the domain of y=2^x?

• x=all real numbers

• y=all real numbers

What is the range of y=2^x?

• 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

Tags

CCSS.HSF-IF.C.7E

Describe the transformation of y = 2^x - 3

• left 3

• down 3

• up 3

• right 3

Tags

CCSS.HSF.BF.B.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

Tags

CCSS.HSF.BF.B.3

What is the end behavior?

• As x approaches infinity, f(x) approaches infinity.

  As x approaches negative infinity, f(x) approaches infinity

• As x approaches infinity, f(x) approaches 0.

  As x approaches negative infinity, f(x) approaches infinity

• As x approaches infinity, f(x) approaches negative infinity.

  As x approaches negative infinity, f(x) approaches infinity

• As x approaches 0, f(x) approaches infinity.

  As x approaches negative infinity, f(x) approaches infinity

What is positive interval for the graph?

• none

How can you tell if

y = a (b)^x

is a growth model?

• B is greater than 1

• B is less than one

• B = 1

• a is greater than one

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

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF-IF.C.8B

Which of the following is/are NOT true about the function f(x)=2(1/7)^x ?

• The graph is decaying

• the graph is growing

• The graph has as asymptote of f(x)=0