Midterm 2022 Review

Front

What is the parent function of an Absolute Value?

Back

The parent function of an Absolute Value is f(x) = |x|, which creates a V-shaped graph.

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

Write the equation in point-slope form of the line that passes through the point (4, -7) with a slope of -1/4.

Back

y + 7 = -1/4(x - 4)

Front

What does it mean for a graph to pass the vertical line test?

Back

A graph passes the vertical line test if no vertical line intersects the graph at more than one point, indicating that it represents a function.

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

What is the difference between an open interval and a closed interval?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What does it mean for a graph to be a function?

Back

A graph is a function if every x-value corresponds to exactly one y-value.

Front

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

Back

The y-intercept is the point where the graph intersects the y-axis, representing the output value when x = 0.