Algebra 1 Semester 1 Review

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 based on its domain (input values).

Front

How do you determine the range of a function from its graph?

Back

To determine the range from a graph, identify the lowest and highest points on the y-axis that the graph reaches. The range is expressed in interval notation.

Front

What is the equation of a line in slope-intercept form?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value). A relation can have multiple outputs for a single input.

Front

How do you write an inequality from a graph?

Back

To write an inequality from a graph, identify the boundary line and determine whether the region above or below the line is shaded. Use <, >, ≤, or ≥ based on the shading and whether the line is solid or dashed.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y to 0 in the equation and solve for x. The x-intercept is the point where the line crosses the x-axis.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line. It uses parentheses and brackets to indicate whether endpoints are included (closed) or excluded (open).