Intercepts and zeros

Front

What is the zero of a function?

Back

The zero of a function is any input value that generates an output value of 0.

Front

How do you find the zero of the equation y = 2x - 6?

Back

Set y to 0 and solve for x: 0 = 2x - 6, which gives x = 3.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x is 0.

Front

Given the ordered pairs (1, 3), (9, 10), (0, -4), (8, 9), (4, 0), what is the y-intercept?

Back

The y-intercept is (0, -4).

Front

How do you determine the x-intercept of a linear equation?

Back

Set y to 0 and solve for x.

Front

What is the x-intercept of the equation 4x - 10y = 20?

Back

The x-intercept is 5.

Front

What is the y-intercept of the equation 4x - 10y = 20?

Back

The y-intercept is -2.

Front

What does the term 'intercept' refer to in a graph?

Back

An intercept refers to the point where a line crosses the x-axis or y-axis.

Front

How can you find the y-intercept from a graph?

Back

The y-intercept can be found by locating the point where the line crosses the y-axis.

Front

What is the significance of the x-intercept in a function?

Back

The x-intercept indicates the value of x where the function's output is zero.