Linear Vs Exponential

Front

What is a Linear Function?

Back

A linear function is a function that adds the same number each time, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an Exponential Function?

Back

An exponential function is a function that multiplies the same number each time, represented by the equation y = ab^x, where a is a constant and b is the base.

Front

Identify the pattern: 2, 7, 12, 17, ...

Back

The pattern is +5.

Front

Identify the pattern: 3, 6, 12, 24, ...

Back

The pattern is x2.

Front

What is the equation for a linear function with a slope of 8.5 and a y-intercept of 25.5?

Back

The equation is y = 8.5x + 25.5.

Front

What does the slope in a linear function represent?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What does the base in an exponential function represent?

Back

The base represents the factor by which the function's value multiplies for each unit increase in x.

Front

If a function doubles every hour, what type of function is it?

Back

It is an exponential function.

Front

If a function increases by a constant amount, what type of function is it?

Back

It is a linear function.

Front

What is the general form of a linear equation?

Back

The general form is y = mx + b.