ALG Unit 3: Exponential Functions- The Basics

Front

What does 'a' represent in the exponential function f(x) = a ⋅ b^x?

Back

The 'a' represents the y-intercept of the function.

Front

What type of function is represented by a graph that rises steeply to the right?

Back

Exponential Growth.

Front

What type of function is represented by a graph that falls steeply to the right?

Back

Exponential Decay.

Front

In the equation y = 2(0.5)^x, what does the factor 0.5 indicate?

Back

Exponential Decay.

Front

What is the common ratio in the sequence 3, 15, 75...?

Back

5.

Front

If a function is described as having a common ratio greater than 1, what type of function is it?

Back

Exponential Growth.

Front

If a function is described as having a common ratio between 0 and 1, what type of function is it?

Back

Exponential Decay.

Front

What is the general form of an exponential function?

Back

f(x) = a ⋅ b^x, where 'a' is the y-intercept and 'b' is the base.

Front

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

Back

The rate of growth or decay.

Front

How can you identify exponential growth from a table of values?

Back

The values increase by a consistent multiplicative factor.