Cat 5 Review L4W

A part of an exponential function is graphed on the grid. Which statements are true about the domain and range of the part of the function shown? Select TWO correct answers.

• The domain is the set of all real numbers greater than or equal to 2 and less than or equal to 5.

• The domain is the set of all real numbers greater than or equal to 1 and less than or equal to 8.

• The range is the set of all real numbers greater than or equal to 1 and less than or equal to 8.

• The domain is the set of all real numbers.

• The range is the set of all real numbers greater than or equal to 2 and less than or equal to 5.

A part of exponential function f is graphed on the grid. Which inequality best represents the domain of the part shown?

• x > 1

• y > 1

• x > -2

• y > -2

The population of Center City is modeled by exponential function f, where x is the number of years after the year 2015. The graph of f is shown on the grid. 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

The population of a town can be modeled by the exponential function F(t) = 26,080(0.85)^t, where t represents the number of years since 2010. Choose the correct answer from each drop-down menu to complete the sentences. The initial population of the town in 2010 was ​ (a)   .

The population is ​ (b)   at a rate of ​ (c)   per year.

​

• 26,080
• decreasing
• 15%
• increasing
• 85%

• The initial deposit in the investment account was $1,581.

• The amount of money in the investment account increases 102% each year.

• The initial deposit in the investment account was $1,550.

• The amount of money in the investment account decreases 2% each year.

A company currently has 500 employees. The number of employees is expected to grow at a rate of 2% each year. Write an exponential function to model the number of employees in the company, y, after x years. Enter your answer in the box provided.

f(x) = _________

Mathematical Equivalence

ON

Researchers studied the population of a town over time and modeled the data using an exponential function.

• The initial estimated population was 48,000.

• After the first year, the population of the town was 50,400.

If the population of the town continues to grow at this rate each year, which function can be used to model the population x years after the researchers began their study?

An exponential function is graphed on the grid. Which function is best represented by the graph?

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?