Key Features of Exponential Functions

• The coordinates of the x-intercept are (0.25, 0).

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

• The graph includes the point (2, 1).

• The initial number of bacteria is 12.

• The initial number of bacteria decreases at a rate of 88% each day.

• The number of bacteria increases at a rate of 12% each day.

• The number of bacteria at the end of one day 245.

• The interest the savings account earned for the first year.

• The annual interest rate of the savings account.

• The number of years the savings account has earned interest.

• The starting balance of the savings account.

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?

• $f\left(x\right)=1024\left(1.50\right)^x$

• $f\left(x\right)=1024\left(0.50\right)^x$

• $1024\left(1.05\right)^x$

• $f\left(x\right)=1024\left(0.05\right)^x$

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?

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?

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 3.25% 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?

• The graph has a vertical asymptote.

• The graph decreases from left to right.

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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