Types of Functions

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What is a Linear Function?

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A linear function is a function that graphs to a straight line. It can be expressed in 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?

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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.

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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 expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

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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 the general form of a Linear Function?

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The general form of a linear function is 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 does the graph of an Absolute Value Function look like?

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The graph of an absolute value function forms a 'V' shape, opening upwards.

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CCSS.HSF-IF.C.7D

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How do you identify a Quadratic Function from its equation?

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A quadratic function can be identified by the presence of the x^2 term in its equation.

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What is the key characteristic of an Exponential Function?

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The key characteristic of an exponential function is that it grows (or decays) at a rate proportional to its current value.

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CCSS.HSF-IF.C.8B

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What is the slope in a Linear Function?

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The slope in a linear function represents the rate of change of y with respect to x, indicating how steep the line is.

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CCSS.8.EE.B.5

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What is the y-intercept in a Linear Function?

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The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.