3B/3C STAAR Review

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the value of y is zero at that point.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, meaning the value of x is zero at that point.

Front

How do you find the slope of a linear function?

Back

The slope (m) is calculated as the change in y divided by the change in x (rise/run) between two points on the line.

Front

What does the rate of change represent in a linear function?

Back

The rate of change represents how much the dependent variable (y) changes for a unit change in the independent variable (x). It is the same as the slope.

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero (f(x) = 0). It is also known as the root of the function.

Front

How do you determine the initial value from a graph?

Back

The initial value can be determined by finding the y-intercept of the graph, which indicates the starting point of the function.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a function has no zero?

Back

If a function has no zero, it means that there are no values of x for which the function equals zero; the graph does not intersect the x-axis.

Front

What is the significance of the slope in a real-world context?

Back

In a real-world context, the slope can represent a rate, such as speed, cost per item, or any other ratio of change.