Evaluate Linear Functions

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

How do you evaluate a linear function at a specific point?

Back

To evaluate a linear function at a specific point, substitute the value of the input variable into the function's equation and simplify.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

1

Front

What is the slope-intercept form of a linear function?

Back

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

Front

For the function f(x) = -3x + 3, find f(0).

Back

3

Front

If y = 6x + 22 and x = -2, what is y?

Back

10

Front

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

Back

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

Front

What is the value of f(0) for the function f(x) = 2x + 4?

Back

4

Front

How do you find the x-intercept of a linear function?

Back

To find the x-intercept, set y = 0 in the function's equation and solve for x.

Front

What is the significance of the slope in a linear function?

Back

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