Graphs of Exponential Functions

The graph represents...

• Exponential Growth Function

• Exponential Decay Function

• Linear Function

• Quadratic Function

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

Identify which functions are exponential. (Choose all that apply.)

• f(x) = 2x - 5

• g(x) = 3^x

• k(x) = 3x⁴ - 6x + 9

• 
  

  $k\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x$

Tags

CCSS.HSF.LE.A.1

Determine which functions model exponential decay.

• $g\left(x\right)=3\cdot2^x$

• $k\left(x\right)=\left(\frac{1}{3}\right)^x$

• $m\left(x\right)=3\cdot\left(\frac{2}{3}\right)^x$

• $p\left(x\right)=4x^2+5x-9$

Tags

CCSS.HSF-LE.A.1A

Evaluate the exponential function

f(x) = 3^x ; x = - 2

• -81

• -9

• 1/9

• -1/81

Tags

CCSS.HSF-IF.C.8B

Given the equation below determine the y-intercept.

 $y=3^x$  

• (0, 1)

• (0, 3)

• x= 0

• y = 0

Tags

CCSS.HSF-IF.C.7E

What is the y-intercept of the function?

• none

• all real numbers

• (0, 80)

Tags

CCSS.HSF-IF.C.7E

What is the domain of the following function?

• $\left(0,\ \infty\right)$

• $\left(-\infty,\ 0\right)$
  

• $\left(-\infty,\ \infty\right)$
  

• none of these

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

What is the range of the function?

• $\left(0,\ \infty\right)$

• $\left(-\infty,0\right)$

• $\left(-\infty,\ \infty\right)$
  

• none of these

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the horizontal asymptote of this function?

• y = 4

• y = - 3

• y = - 4

• y = 3

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

Determine the horizontal asymptote for the function

f(x) = 3(2)^x-4 + 5

• x=4

• y=4

• x=5

• y=5

Tags

CCSS.HSF-IF.C.7E