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.

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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 distance of x from 0 on the number line.

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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 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.

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What does the graph of a Quadratic Function look like?

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The graph of a quadratic function is a parabola, which opens upwards if a > 0 and downwards if a < 0.

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What is the vertex of a Quadratic Function?

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The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction the parabola opens.

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How do you identify an Exponential Function?

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An exponential function can be identified by its variable being in the exponent, such as in f(x) = 2^x.

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What is the difference between Linear and Nonlinear Functions?

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Linear functions create straight lines when graphed, while nonlinear functions create curves or other shapes.

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What is a Nonfunction?

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A nonfunction is a relation where at least one input is associated with more than one output.