Functions and Their Properties

Front

What is the y-intercept?

Back

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

Front

Find the y-intercept of the equation 5x + y = 5.

Back

The y-intercept is (0, 5).

Front

In a direct variation, if y = 39 when x = 3, what is y when x = 2?

Back

y = 26.

Front

If a person with a mass of 90 kg contains 60 kg of water, how much water is in a person whose mass is 75 kg?

Back

50 kg of water.

Front

Identify the slope-intercept equation for the graph: y = 2x + 4.

Back

This is the slope-intercept form of a linear equation where the slope is 2 and the y-intercept is 4.

Front

What is the slope of the line represented by the equation y = 2x - 2?

Back

The slope is 2.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is a constant.

Front

If y varies directly with x and k = 5, what is y when x = 4?

Back

y = 20.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.