Exponential Functions

Front

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

Back

Y-INTERCEPT

Front

What is the starting term for the function: f(x) = 300(1.16)^x?

Back

300

Front

Identify the y-intercept (initial value) in the function f(x)=13(0.27)^x.

Back

13

Front

If the population of a species of insects doubles every year and there are 1600 insects initially, what is the function for this scenario?

Back

f(x)=1600\cdot2^x

Front

What is the y-intercept of the function f(x)=3x+3?

Back

3

Front

Define an exponential function.

Back

A 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)^x, where r is the growth rate.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Front

What does the base 'b' in an exponential function represent?

Back

The growth factor or decay factor.

Front

How do you find the y-intercept of an exponential function?

Back

Set x = 0 in the function and solve for f(0).