Graphing and Key Features of Exponential Functions

Look at the graph and answer each question.

Does the graph show growth or decay?

What is the y-intercept?

What is the asymptote?

• Growth

  y-intercept: (0, 5)

  asymptote: y = 0

• Decay

  y-intercept: (0, 5)

  asymptote: y = 0

• Growth

  y-intercept: (0, 5)

  asymptote: y = 5

• Decay

  y-intercept: (0, 5)

  asymptote: x = 0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.IF.C.7

The image shows how the value of a specific car decreases over time. What was the initial value of the car?

• $12,000

• $3,000

• $75,000

• $6,000

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

Classify the function, f(x) = 6.5(0.85)^x.

• exponential growth
• exponential decay
• positive linear
• negative linear

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Tags

CCSS.HSF.LE.B.5

Determine the y-intercept of the function:
y = 1.25(5)^x

• 5
• 1
• .25
• 1.25

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

What is the x-intercept of the exponential function? 

• (0,1)
• (0,0)
• There is not one

Tags

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

CCSS.HSA.CED.A.1

Given y=3^x determine the y-intercept 

• (0,1)
• (0,3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.IF.C.7

CCSS.HSF.IF.A.1

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.2