District Practice CRT Form B Units 6-10

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

What is a transformation in graphing functions?

Back

A transformation is a change made to the graph of a function, such as shifting, reflecting, stretching, or compressing.

Front

What does shifting a graph to the left mean?

Back

Shifting a graph to the left means moving every point of the graph a certain distance to the left along the x-axis.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the domain of the function g(x) = √x?

Back

The domain of g(x) = √x is x ≥ 0, since the square root function is only defined for non-negative values.

Front

What is the effect of adding a constant to a function?

Back

Adding a constant to a function shifts the graph vertically. For example, g(x) = f(x) + c shifts the graph of f(x) up by c units.

Front

What is the effect of subtracting a constant from a function?

Back

Subtracting a constant from a function shifts the graph vertically down. For example, g(x) = f(x) - c shifts the graph of f(x) down by c units.