Algebra 1 Types of Functions Review

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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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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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How do you find the zeros of a function?

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To find the zeros of a function, set the function equal to zero and solve for x. The solutions are the x-values where the function intersects the x-axis.

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What is the 'a' value in a quadratic function?

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The 'a' value in a quadratic function f(x) = ax^2 + bx + c determines the direction of the parabola. If a > 0, the parabola opens upwards; if a < 0, it opens downwards.

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What is the vertex of a quadratic function?

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The vertex of a quadratic function in the form f(x) = ax^2 + bx + c is the point (h, k) where h = -b/(2a) and k = f(h). It represents the maximum or minimum point of the parabola.

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What is the standard form of a linear function?

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The standard form of a linear function is expressed as Ax + By = C, where A, B, and C are constants, and A and B are not both zero.

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What is the slope-intercept form of a linear function?

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The slope-intercept 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 is a function?

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A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

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What is the difference between a function and a relation?

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A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.