Basics of Exponential Functions

Which of the following is an exponential function?

• $f\left(x\right)=4x+2$

• $f\left(x\right)=x^2-4x+5$

• $f\left(x\right)=5\left(.75\right)^x$

• $f\left(x\right)=\left(x-3\right)^3$

In an exponential function, what does the 'a' represent?
f(x) = a ⋅ b^x

• A
  Slope
• B
  y -intercept
• C
  x-intercept
• D
  Common Ratio

Tags

CCSS.HSF.LE.B.5

In an exponential function, what does the 'b' represent?
f(x) = a ⋅ b^x

• A
  Slope
• B
  y -intercept
• C
  x-intercept
• D
  Common Ratio

Tags

CCSS.HSF-IF.C.8B

In an exponential function, what is an interpretation of the y-intercept?

• A
  initial amount
• B
  ending amount
• C
  growth factor
• D
  decay factor

Tags

CCSS.HSF.LE.B.5

Which function will show exponential behavior?
f(x) = (4.3)^x
g(x) = 4.3x + 9

• A
  f(x)
• B
  g(x)
• C
  both
• D
  neither

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

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x

• .27

• 13

• 3.51

Tags

CCSS.HSF.LE.B.5

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

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

• A
  Growth
• B
  Decay
• C
  Both
• D
  Neither

Tags

CCSS.HSF-IF.C.7E

Identify each function as representing exponential growth or decay.
f(x) = 5(1.09)^x

• A
  growth
• B
  decay

Tags

CCSS.HSF-IF.C.8B