Exponential Functions

The population of Center City is modeled by exponential function f, where x is the number of years after the year 2015. Which inequality best represents the range of f in this situation?

• x ≥ 0

• y ≥ 250,000

• 0 ≤ x ≤ 110

• 250,000 ≤ y ≤ 1,000,000

There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

• f(x) = 1,024(1.50)^x

• f(x) = 1,024(0.50)^x

• f(x) = 1,024(1.05)^x

• f(x) = 1,024(0.05)^x

The amount of fertilizer in a landscaping company's warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards. Which function models the amount of fertilizer in cubic yards left after w weeks?

• f(w) = 0.97(78,000)^w

• f(w) = 1.03(78,000)^w

• f(w) = 78,000(0.97)^w

• f(w) = 78,000(1.03)^w

Which graph best represents f(x) = 2(5)^x ?

• F

• G

• H

• J

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

The graph of an exponential function is shown on the grid. Which dashed line is an asymptote for the graph?

• line q

• line r

• line s

• line t

Which table does NOT show y as a function of x?

• 
• 
• 
• 

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Write the explicit formula for the geometric sequence.

• a_n = 7(1)ⁿ
• a_n = 7(-1)ⁿ
• a_n = 7(-1)^n-1
• a_n = -1(7)^n-1

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

What is the 11th term of the geometric sequence?

• -5120
• 97,656,250
• 19,531,250
• -19,531,250