Exponential Functions/Equations

What defines an exponential function?

• A function with a constant exponent

• A function where the exponent is a variable

• A function that cannot have negative values

• A function that only includes integers

What does the 'a' value in an exponential function represent?

• The x-intercept

• The slope of the graph

• The y-intercept

• The rate of growth or decay

In the function y = 5 * 2^x, what is the y-intercept?

• 2

• 5

• 10

• 0

What does the 'b' value in an exponential function influence?

• The x-intercept

• The y-intercept

• The rate of growth or decay

• The direction of the graph

What indicates an exponential growth in a function?

• When 'b' value is exactly 1

• When 'b' value is less than 0

• When 'b' value is greater than 1

• When 'b' value is between 0 and 1

What pattern do you observe in the outputs of a function showing exponential decay?

• The outputs increase by a constant amount

• The outputs decrease by a constant amount

• The outputs increase by a factor

• The outputs decrease by a factor

How can you determine if a function exhibits exponential decay?

• The factor is between 0 and 1

• The factor is exactly 1

• The factor is greater than 1

• The factor is less than 0

In the function f(x) = 144 * (1/2)^x, what is the behavior of the function?

• Exponential decay

• Linear decay

• Exponential growth

• Linear growth

A wildlife preservation group records the number of squirrels in a city park. The first count recorded is 30 squirrels. A second count of 60 squirrels is recorded six months later, and 120 squirrels are counted at the end of one year. Assuming that no squirrel dies and the growth rate remains the same, which function represents the number of squirrels after x years? (DOK 2)

• 124

• 345

• 243

• 35