Exponential Functions and Laws of Exponents STAAR 2024 Problems

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.

y=__________________________

Mathematical Equivalence

ON

Which function represents the relation shown in the table?

• 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 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 range 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 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 domain is the set of all real numbers.

• The y-intercept is (0, 16).

• The graph is decreasing for all values of x.

• The x-intercept is (0.5, 0).

• The graph has a horizontal asymptote at y = 0.

An exponential function has these characteristics:

-The y-intercept is 2.

-The function increases at a rate of 50%.

Which graph best represents this function?

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