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Problem 4

The graphs of \(f\) and \(f^{-1}\) are reflections of each other in the line ________.

Problem 4

A nonrigid transformation of \(y = f(x)\) represented by \(h(x) = f(cx)\) is a ________ ________ if \(c > 1\) and a ________ ________ if \(0 < c < 1\).

Problem 4

A function \(f\) is ________ on an interval if, for any \(x_1\) and \(x_2\) in the interval, \(x_1 < x_2\) implies \(f(x_1) > f(x_2)\).

Problem 4

The function given by \( f(x) = \left\\{ \begin{array}{ll} 2x - 1, & \mbox{ \) x < 0 \(} \\ x^2 + 4, & \mbox{ \) x \ge 0 \(} \end{array} \right.\)

Problem 5

In Exercises 1-9, match each function with its name. \(f(x) = \sqrt{x}\) (a) squaring function (b) square root function (c) cubic function (d) linear function (e) constant function (f) absolute value function (g) greatest integer function (h) reciprocal function (i) identity function

Problem 5

The equation \( (x - h)^2 + (y - k)^2 = r^2 \) is the standard form of the equation of a ________ with center ________ and radius ________.

Problem 5

A nonrigid transformation of \(y = f(x)\) represented by \(g(x) = cf(x)\) is a ________ ________ if \(c > 1\) and a ________ ________ if \(0 < c < 1\).

Problem 5

A function \(f\) is ________ if each value of the dependent variable corresponds to exactly one value of the independent variable.

Problem 5

A function value \(f(a)\) is a relative ________ of \(f\) if there exists an interval \((x_1, x_2)\) containing \(a\) such that implies \(f(a) \geq f(x)\).

Problem 5

Direct variation models can be described as "\(y\) varies directly as \(x\)," or "\(y\) is ________ ________ to \(x\)."

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