Exponential functions

In an exponential function, what does the 'a' represent?

• Slope

• Rate of change

• Y-intercept

• Multiplier

In an exponential function, what does the 'b' represent?

• Slope

• Rate of change

• Y-intercept

• Multiplier

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.
• The amount of grams the material is losing.
• The amount of grams remaining after so many years.
• The initial amount of grams.

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x
• y = 50x - 4
• y = (2)^x + 50
• y = 50(1.4)^x

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

• Increasing
• Decreasing

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

• The number of elephants was 1,015 in 1975.
• The number of elephants increases by 1.5% each year.
• The number of elephants increases by 101.5% each year.
• The number of elephants is multiplied by 1.015 each year.

Is the graph exponential growth or decay?

• Exponential growth
• Exponential decay

Is the following function exponential growth, exponential decay, linear, or none of the above.
g(x) = 740(.001)^3x

• Exponential growth
• Exponential decay
• Linear
• None of the above

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2
• 4
• (2)^x
• 8

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

• 2
• 4
• (2)^x
• 8