Types of Functions

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What is a Linear Function?

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A linear function is a function that can be graphically represented in the Cartesian plane as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is an Absolute Value Function?

Back

An absolute value function is a function that contains an absolute value expression. It is defined as f(x) = |x|, which outputs the non-negative value of x.

Tags

CCSS.HSF-IF.C.7D

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What is a Quadratic Function?

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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 an Exponential Function?

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An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

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What is a Piecewise Function?

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A piecewise function is a function that is defined by different expressions or formulas for different intervals of the input variable.

Front

Identify the type of function: y = -5x + 17

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Linear Function

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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Identify the type of function: f(x) = 4x + 5

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Linear Function

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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Identify the type of function: y = x

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Linear Function

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Identify the type of function: f(x) = 5 + 3|x - 9|

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Absolute Value Function

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Identify the type of function: y = x^2 + 3x + 2

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Quadratic Function