Alg. 1 Review Unit 1-4

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a set of ordered pairs is a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a relation?

Back

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

Front

What is the range of a relation?

Back

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

Front

What is point-slope form of a linear equation?

Back

Point-slope form is written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert from point-slope form to slope-intercept form?

Back

Solve for y to express the equation in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the slope of the line represented by the equation y + 2 = 5(x - 4)?

Back

The slope is 5.

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 (x=0).

Front

What is the absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero, denoted as f(x) = |x|.