Parent Functions

Front

What is a Constant Function?

Back

A function that always returns the same value, regardless of the input. Example: f(x) = c, where c is a constant.

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What is a Linear Function?

Back

A function that graphs to a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

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What is a Quadratic Function?

Back

A function that graphs to a parabola. It has the form f(x) = ax² + bx + c, where a, b, and c are constants.

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What is an Exponential Function?

Back

A function in which an independent variable is in the exponent. It has the form f(x) = a * b^x, where a is a constant and b is the base.

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What is a Simple Rational Function?

Back

A function that can be expressed as the ratio of two polynomials. Example: f(x) = 1/x.

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What is the Domain of a Function?

Back

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

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What is the Range of a Function?

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

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What is the Absolute Value Function?

Back

A function that returns the non-negative value of its input. It has the form f(x) = |x|.

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How do you identify a Linear Function from a graph?

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A linear function will graph as a straight line with a constant slope.

Front

What is the significance of the slope in a Linear Function?

Back

The slope (m) indicates the steepness and direction of the line. A positive slope rises, while a negative slope falls.