Exponential Functions: Graphs, Asymptotes and Transformations

• Time

• Decay or Growth Factor

• Starting Amount ( Y - int)

• Bomsta

Tags

CCSS.HSF.LE.B.5

How can you tell the difference between an Exponential Growth graph and an Exponential Decay graph.

• The exponential growth graph decreases while the exponential decay graph increases

• The exponential growth graph is a line while the exponential decay graph is a curve

• Both of the graphs are curves

• The exponential growth graph increases while the exponential decay graph decreases

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Exponential functions have...

• Vertical asymptotes

• Horizontal asymptotes

• Vertical & horizontal asymptotes

• No asymptotes

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

What is the equation of the horizontal asymptote for following exponential function?

• y = -4

• y > -4

• y < -4

• (0, -3)

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

What is the equation of the horizontal asymptote for following exponential function?

• y = -2

• x = -2

• y < -2

• (0, -2)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

^{What are the transformations?}

• 4 units up
• 4 units to the left
• 4 units to the right
• 4 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which equation best describes the graph? 

• y = 2^x + 4
• y = 2^x - 3
• y = 2^x - 4
• y = 2^x + 3 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same
• v. reflection, up 3, left 6

• v. reflection, right 3, down 6

• v. reflection, left 3, down 6

Tags

CCSS.HSF.BF.B.3