Functions & Linear Functions Test

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If any vertical line intersects the graph more than once, it is not a function.

Front

Convert the equation 4x - 3y = 12 to slope-intercept form.

Back

y = 4/3x - 4.

Front

What is the slope of the line represented by the equation y = 3/2x + 3?

Back

The slope is 3/2.

Front

What is the y-intercept of the line represented by the equation y = 3/2x + 3?

Back

The y-intercept is (0, 3).

Front

How do you find f(-4) for the function f(x) = 2x + 3?

Back

Substitute -4 into the function: f(-4) = 2(-4) + 3 = -8 + 3 = -5.

Front

What is the definition of slope in a linear function?

Back

Slope is the measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

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

Front

What does it mean if a function is linear?

Back

A linear function is a function that graphs to a straight line, which means it has a constant rate of change.

Front

What is the significance of the y-intercept in a graph?

Back

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