Types of Functions

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What is a Linear Function?

Back

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

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What is an Absolute Value Function?

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An absolute value function is a function that outputs the absolute value of its input. It is defined as f(x) = |x|, which means it is always non-negative.

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What is a Quadratic Function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

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What is a Square Root Function?

Back

A square root function is a function that involves the square root of a variable. It is expressed as f(x) = √x, which is defined for x ≥ 0.

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What is a Cubic Function?

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A cubic function is a polynomial function of degree 3, typically in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

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What is an Exponential Function?

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An exponential function is a function in which an independent variable appears in the exponent. It is expressed as f(x) = a * b^x, where a is a constant and b is the base.

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What is a Constant Function?

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A constant function is a function that always returns the same value regardless of the input. It can be expressed as f(x) = c, where c is a constant.

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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. It has a constant rate of change and can be identified by its slope.

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How do you identify a Quadratic Function from a graph?

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A quadratic function will graph as a parabola, which opens either upwards or downwards. It has a vertex and may have x-intercepts.

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What is the general form of a Quadratic Function?

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The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.