AR - Exponential Functions

Determine the domain for the function

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

• [5, ∞)

• (5, ∞)

• (-∞, ∞)

• (-∞, 5)

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

Which of these shows the answer 'all real numbers' written using set notation?

• (-∞, ∞)

• { x | -∞ < x ∞ }

• -∞ < x < ∞

What is the transformation of f(x) = -⅓(2)^x + 3

• reflect over x-axis

  vertical compression by ⅓

  vertical shift up 3

• vertical compression by ⅓

  vertical shift up 3

• reflect over x-axis

  vertical stretch by 2

  vertical shift up 3

• vertical stretch by 2

  vertical shift up 3

Tags

CCSS.HSF.BF.B.3

What is the range of this function?

• (-∞, 0)

• (0, ∞)

• (-∞, 4)

• (4, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the x-intercept of the exponential function? 

• (0,1)
• (0,0)
• There is not one

Tags

CCSS.HSF-IF.C.7E

Determine the asymptote for the function

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

• y = 3

• y = 4

• y = 2

• y = 5

Tags

CCSS.HSF-IF.C.7E

Determine the range for the function

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

• [5,∞)

• (5,∞)

• [4,∞)

• (4,∞)

What is the transformation of f(x) = 2(½)^x - 7

• vertical stretch by 2

  vertical shift down 7

• vertical compression by ½

  vertical shift down 7

• vertical stretch by 2

  vertical shift up 7

• vertical compression by ½

  vertical shift up 7

Tags

CCSS.HSF.BF.B.3

Which answer is written using inequality notation?

• { x | 2 < x < 10 }

• (2 , 10]

• 2 < x < 10