Topic 3 Functions Review

Front

In slope-intercept form (y = mx + b), which variable represents the y-intercept?

Back

b

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does the slope of a function represent?

Back

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

Front

What is the y-intercept of a function?

Back

The value of y when x = 0; the point where the graph intersects the y-axis.

Front

If a function is represented as t = -15w + 275, what does the -15 represent?

Back

The rate at which the water is decreasing in gallons per week.

Front

How do you determine if a function is increasing or decreasing from its graph?

Back

A function is increasing if the graph moves upwards as you move from left to right; it is decreasing if it moves downwards.

Front

What is the significance of the point (0,0) in a function?

Back

It represents the origin, where both x and y values are zero.

Front

What is the general form of a linear function?

Back

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

Front

How can you find the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What does it mean for a function to have a slope of 1/2?

Back

For every 2 units you move to the right on the x-axis, the function moves up 1 unit on the y-axis.