Exponential Functions and Sequences Review

Identify the growth factor (multiplier) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Tags

CCSS.HSF-IF.C.8B

Find the equation given the table.

• y=3x+3

• y=3(2)^x

• y=2(3)x

• y=2x+3

Tags

CCSS.HSF.LE.A.2

Choose all the equations that are exponential:

• y = 6x -5

• y = 8^x - 9

• f(x) = 3x² + 4

• y = 1/3^x

• y = 7x³

What kind of sequence is illustrated below?
 400, 200, 100, 50, 25, ...

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

A new store sold 58 shirts its first month in business and sold 4% more shirts each month after this for the 1st year. What is the equation and number of shirts this store sold in the 8th month?

• y = 58(1.04)^x

  79 shirts

• y = 58(1.04)^x-1

  76 shirts

• y = 58(1.4)^x

  611 shirts

• y = 58(1.4)^x-1

  856 shirts

Tags

CCSS.HSF.BF.A.2

From 1990 to 2018 the number of students at MathIsGreat Academy can be measured by the function

S = 3,400(1.1)^x

Which statement about this function is true?

• The academy grows at a rate of 0.1.

• The initial enrollment at the academy was 3,400 students

• The academy is decreasing by a factor of 1.1

• None of these statements are true

Tags

CCSS.HSF-IF.C.8B

The value(v) of a car over time(t) is determined by the equation v=18500(.85)^t What is the y-intercept, common factor, and asymptote of this function?

• (18500,0)

  0.85

  y=0

• (0,18500)

  1.85

  y=0

• (0,18500)

  0.85

  x=0

• (0,18500)

  0.85

  y=0

Tags

CCSS.HSF-IF.C.7E

Which equation could be used to represent this function, and what is the equation of its asymptote?

• y = 1(3)^x - 4

  y = -4

• y = -3(3)^x - 4

  y = -4

• y = 1(3)^x - 4

  x = 3

• y = -3(3)^x - 4

  x = 3

Tags

CCSS.HSF.LE.A.2

What is the 5th term of the geometric sequence

f(1) = 128, f(n) = 0.75 f(n-1)

• 54

• 8

• 40.5

• 30.375

Tags

CCSS.HSF.BF.A.2