Exponential Functions Remediation

If the base of an exponential function is greater than 1, what type of growth does the function exhibit?

• Logarithmic growth

• Linear growth

• Quadratic growth

• Exponential growth

If the base of an exponential function is between 0 and 1, what type of decay does the function exhibit?

• Exponential decay

• Linear decay

• Exponential growth

• Quadratic decay

What is the difference between exponential growth and decay?

• Exponential growth refers to a rapid decrease in quantity over time, while exponential decay refers to a rapid increase in quantity over time.

• Exponential growth refers to a slow increase in quantity over time, while exponential decay refers to a slow decrease in quantity over time.

• Exponential growth and decay are the same thing.

• Exponential growth refers to a rapid increase in quantity over time, while exponential decay refers to a rapid decrease in quantity over time.

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Which has a horizontal asymptote?

• Exponential

• Logarithmic

• Both

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

What is the equation for exponential growth?

• y = a * r^t

• y = a * (1 + r)^t

• y = a + r^t

• y = a * (1 - r)^t

What is the y-intercept of an exponential function?

• (2, 1)

• (0, 1)

• (1, 0)

• (0, 0)

How does the domain of an exponential function differ from the domain of a linear function?

• The domain of an exponential function is all fractions.

• The domain of an exponential function is all negative numbers.

• The domain of an exponential function is all real numbers.

• The domain of an exponential function is all even numbers.

What is the relationship between the base of an exponential function and its rate of growth or decay?

• The rate of growth or decay is unrelated to the value of its base.

• The rate of growth or decay is directly related to the value of its base.

• The rate of growth or decay is inversely related to the value of its base.

• The rate of growth or decay is only related to the exponent of the function.