Algebra EOC Night: Exponential Functions

What appears to be the domain of the part of the exponential function graphed on the grid?

-1 ≤ x ≤ 3

Which expression is equivalent to (144k²r^14 )^(1/2)

12kr^7

The function L=0.8T² models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?

6.1 s

In the year 1900, the total number of metric tons of copper produced in the world was 495,000. Each year since 1900, the total number of metric tons of copper produced has increased on average by about .25% over the amount produced the previous year. Which function models the total number of metric tons of copper produced in the year that is x years since 1900?

C(x) = 495,000(1.0325)ˣ

Which statement about the graph of y=8(0.25)ˣ is true?

The coordinates of the y-intercept are (0,8).

A student used f(x)= 5.00(1.012)^x to show how the balance in a savings account will increase over time. What does the 5.00 represent?

The starting balance of the savings account

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) = 78,000(0.97)^w

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(0.50)ˣ

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?

n = 4(2)^h