Functions and Trig Midterm Exam

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What is an exponential growth function?

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An exponential growth function is a mathematical function of the form f(x) = a * b^x, where a > 0, b > 1. It describes a situation where the quantity increases at a rate proportional to its current value.

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What is an exponential decay function?

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An exponential decay function is a mathematical function of the form f(x) = a * b^x, where a > 0, 0 < b < 1. It describes a situation where the quantity decreases at a rate proportional to its current value.

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What is the parent function of a linear equation?

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The parent function of a linear equation is f(x) = x, which represents a straight line with a slope of 1.

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What is the parent function of an absolute value function?

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The parent function of an absolute value function is f(x) = |x|, which creates a V-shaped graph.

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What is the parent function of a quadratic equation?

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The parent function of a quadratic equation is f(x) = x^2, which represents a parabola that opens upwards.

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What is the parent function of a cubic equation?

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The parent function of a cubic equation is f(x) = x^3, which represents a curve that passes through the origin and has an S-shape.

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What is the parent function of a cube root function?

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The parent function of a cube root function is f(x) = ∛x, which represents a curve that passes through the origin and increases slowly.

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What is the parent function of an exponential function?

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The parent function of an exponential function is f(x) = 2^x, which represents rapid growth as x increases.

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What is the parent function of a logarithmic function?

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The parent function of a logarithmic function is f(x) = log(x), which represents a curve that increases slowly and approaches the y-axis.

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