Parent Functions

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What is a constant function?

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A constant function is a function that always returns the same value, regardless of the input. It can be represented as f(x) = c, where c is a constant.

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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 f(x) = mx + b, where m is the slope and b is the y-intercept.

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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 absolute value function?

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An absolute value function is a piecewise function that outputs the non-negative value of its input. It is defined as f(x) = |x|.

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What is a cubic function?

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A cubic function is a polynomial function of degree 3, expressed as f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

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What is an exponential function?

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An exponential function is a 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 square root function?

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A square root function is a function that involves the square root of its input, typically expressed as f(x) = √x or f(x) = x^(1/2).

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What is a reciprocal function?

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A reciprocal function is a function of the form f(x) = 1/x, where x is not equal to zero. It represents the inverse of the input.

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What is the graph of a constant function?

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The graph of a constant function is a horizontal line at the value of the constant.

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What is the graph of a linear function?

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The graph of a linear function is a straight line that can slope upwards or downwards depending on the sign of the slope.