Exponential Functions Worksheet

Which equation best represents the function shown in the graph with points (0, 0.5) and (2, 8)?

• Their graphs are always mirror images across the y-axis

• The range is determined by the value of b

• The graph approaches y = a as x increases

• The output increases as the input increases.

Which table does not show an exponential relationship?

• Table A

• Table B

• Table C

• Table D

Which of the following functions models exponential decay?

• f(x) = 5(0.6)^x

• f(x) = 10(1.3)^x

• f(x) = 8(2)^x

• f(x) = 7(1.5)^x

If the population of a town triples every 4 years, which equation best represents the population after t years, starting with 200 residents?

• P(t) = 200(1.75)^t

• P(t) = 200(4)^t

• P(t) = 200(3)^t

• P(t) = 200(3)^{t/4}

What is the effect of increasing the base in the exponential function f(x) = 4b^x, where b > 1?

• The domain becomes restricted

• The function grows more rapidly

• The y-intercept increases

• The function decays faster

Which of the following functions represents exponential growth?

• f(x) = 4(-1.1)^x

• f(x) = 5(0.2)^x

• f(x) = 2(1.5)^x

• f(x) = 3(0.7)^x