Finding Zeros of Linear Functions

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero, i.e., f(x) = 0.

Front

How do you find the zero of a linear function f(x) = mx + b?

Back

To find the zero, set f(x) = 0 and solve for x: 0 = mx + b, which gives x = -b/m.

Front

Identify the zero of the function f(x) = 10 - 3x.

Back

10/3

Front

Identify the zero of the function f(x) = 3x - 9.

Back

3

Front

What is the zero of the function f(x) = -2x + 4?

Back

2

Front

If f(x) = 5x + 15, what is the value of x when f(x) = 0?

Back

-3

Front

What does the slope (m) represent in a linear function?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

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

Back

The y-intercept is the value of y when x = 0; it is the point where the line crosses the y-axis.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How can you verify if a value is a zero of a function?

Back

Substitute the value into the function; if f(value) = 0, then it is a zero.