Unit 3 Test Review

Front

What is the definition of 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

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the x-values that the graph covers. Any x-value that corresponds to a point on the graph is included in the domain.

Front

What is the definition of 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 range of a function given a specific domain?

Back

To find the range of a function given a specific domain, substitute each value from the domain into the function and collect the resulting output values.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

How do you write the equation of a line given a point and a slope?

Back

Use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What does it mean for a function to have a range of all real numbers?

Back

If a function has a range of all real numbers, it means that the function can produce any possible y-value as output.

Front

What is a horizontal line and how is it represented in an equation?

Back

A horizontal line is a line that runs parallel to the x-axis and has a constant y-value. It is represented by the equation y = k, where k is a constant.

Front

How do you identify the equation of a line from a graph?

Back

To identify the equation of a line from a graph, determine the slope and the y-intercept, then use the slope-intercept form y = mx + b.