Exponential functions

Front

What does the value 1.015 represent in the expression 12(1.015)^t?

Back

The number of elephants increases by 1.5% each year.

Front

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

Back

Multiplier.

Front

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

Back

Y-intercept.

Front

What percentage is the colony of ants decaying in the function f(x) = 800(0.87)^x?

Back

13%.

Front

What does the value 12 represent in the expression 12(1.015)^t?

Back

The initial amount of elephants in the park.

Front

Define an exponential function.

Back

A mathematical function of the form f(x) = a(b^x), where 'a' is a constant, 'b' is the base, and 'x' is the exponent.

Front

What is the general form of an exponential growth function?

Back

f(x) = a(1 + r)^t, where 'r' is the growth rate.

Front

What is the general form of an exponential decay function?

Back

f(x) = a(1 - r)^t, where 'r' is the decay rate.

Front

How do you identify exponential growth from a graph?

Back

The graph rises sharply and curves upwards.

Front

How do you identify exponential decay from a graph?

Back

The graph falls sharply and curves downwards.