Key features & transforming exponential functions

What is the domain of y=2^x?

• x>0

• x=all real numbers

• y>0

• y=all real numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

What is the range of y=2^x?

• x=all real numbers

• 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

• left 3, down 7

• right 3, down 7

• right 3, up 7

• left 3, up 7

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)=-(3)^x+4 - 8 ?

• right 4, up 8, reflect over x-axis

• left 4, down 8, reflect over x-axis

• left 4, up 8, reflect over x axis

• right 4, down 8, reflect over x-axis

Is the function increasing, decreasing, neither, or both?

• increasing

• decreasing

• neither

• both

An exponential decay function increases, decreases, neither, or both?

• increases

• decreases

• neither

• both

Tags

CCSS.HSF-IF.C.7E

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

How can you tell if

y = A * B^x

^{is a growth model?}

• B > 1

• B < 1

• B = 1

• A < 1

Tags

CCSS.HSF-IF.C.8B