Linear vs Exponential Functions

Front

What type of function has a constant rate of change?

Back

Linear Function

Front

What is the general form of a linear function?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What type of function has a variable rate of change that increases or decreases rapidly?

Back

Exponential Function

Front

What is the general form of an exponential function?

Back

y = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

If a function's graph is a straight line, what type of function is it?

Back

Linear Function

Front

If a function's graph is a curve that rises or falls sharply, what type of function is it?

Back

Exponential Function

Front

What is the slope of the line in the equation y = 2x + 3?

Back

2

Front

What does the y-intercept represent in a linear function?

Back

The value of y when x = 0.

Front

In the context of functions, what does 'rate of change' refer to?

Back

The change in the output value (y) for a change in the input value (x).

Front

What is an example of a linear function in a real-world scenario?

Back

Earning a fixed amount of money each week.