Graphs & Key Features of Exponential Functions

Identify which functions are exponential.

• 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

CCSS.HSF.LE.A.3

Which graph best represents the function $f\left(x\right)=5\left(\frac{1}{2}\right)^x$  ?

• 
• 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What is the y-intercept of the function?

• (0,2)

• (0,3)

• (0,1)

• (0,-2)

Tags

CCSS.HSF.IF.B.4

CCSS.HSS.ID.C.7

What is the range of the function?

• (3,∞)

• (-6,∞)

• (0,∞)

• (-∞,∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the x-intercept of the exponential function?

• (0,1)

• (0,0)

• There is no x-intercept

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of the exponential function?

• (-∞,∞)

• (0,∞)

• [1,∞)

• [-10,2]

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the y-intercept of the following function?

• There is no y-intercept

• (1,0)

• (0,1)

• (0,4)

• (4,0)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of the following function?

• $\left(1,\infty\right)$
  

• $\left(-2,2\right)$

• $\left(-\infty,\infty\right)$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the range of the function?

• $\left(0,\ \infty\right)$

• $\left(-\infty,0\right)$

• all real numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the x-intercept of the function?

• (0,1)

• (4,0)

• There is no x-intercept

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11