$f(x)=x^2+1$ and g(x) = 4x - 1. What is f(g(-2))?

$f(x)=\{\begin{array}{ll}-x+6& x\le 5\\ 4x& x>5\end{array}$. What is f(5)?

If f(x) = 4x + 8, for what value of x does f(x) = 20?

For $f(x)=x^2$ and $g(x)=\sqrt{x}$, a student finds g(f(-2)) = 2 rather than -2. What does this show?

$f(x)=\{\begin{array}{ll}3x+1& x<0\\ x^2-4& x\ge 0\end{array}$. What is f(6)?

$f(x)=\{\begin{array}{ll}-x+6& x\le -1\\ -2x& x>-1\end{array}$. What is f(-1)?

A continuous function is graphed with its only turning points and its y-intercept shown. Which point is a relative minimum?

How is the graph of $f(x)=(x+4{)}^3-5$ shifted horizontally from the graph of $y=x^3$?

How does the graph of $f(x)=|3x|$ compare with the graph of $y=|x|$?

A parent function graphs as an S-shaped curve defined for every real number. It is steepest at the origin and levels off as x moves away from 0. Which parent function is it?

If $f(x)=2x^2+1$, what is f(4) - f(1)?

How is the graph of $f(x)=|x-7|-5$ shifted horizontally from the graph of $y=|x|$?

If f(x) = 2x + 3, for what value of x does f(x) = 21?

What is the inverse of f(x) = -3x - 9?

$f(x)=2x^2+6x$ and $g(x)=x^2+7x+4$. What is (f + g)(x)?

For f(x) = 6x + 3 and g(x) = (x - 4)/6, a student finds f(g(x)) = x - 1. What is established?

How does the graph of $f(x)=(1/4)\sqrt[3]{x}$ compare with the graph of $y=\sqrt[3]{x}$?

The graph of $y=\sqrt{x}$ is shifted 1 unit right and 1 unit down. What is the equation of the image?

A continuous function is graphed with its only turning points and its y-intercept shown. Which point is a relative minimum?

An absolute value graph opens downward with its corner at (1, -1) and passes through (2, -5). What is its equation?

What is the domain of $f(x)=1/\sqrt{x-7}$, written in interval notation?

What is the domain of $f(x)=\sqrt{x-4}$, written in interval notation?

$f(x)=\sqrt{x}$ and g(x) = x - 7. What is the domain of f(g(x)), in interval notation?

$f(x)=\{\begin{array}{ll}-x-1& x\le 0\\ 4x& x>0\end{array}$. What is f(0)?

f(x) = x - 4 and $g(x)=x^2$. What is g(f(x))?

A one-to-one function h has h(4) = 15. What is $h^{-1}$(15)?

A function has domain [-6, 9]. Written as an inequality, what is its domain?

A one-to-one function h has h(5) = 12. What is $h^{-1}$(12)?

f(x) = 2x - 6 and $g(x)=x^2$. What is f(g(x))?

A continuous function is graphed. Its only turning points are shown. On which interval is the function increasing?

The graph of a function is shown. What is the relative maximum VALUE of the function?

If $g(x)=x^2+3x$, what is g(a + 3) in expanded form?

What is the domain of f(x) = 1/(x + 7), written in set notation?

$f(x)=\{\begin{array}{ll}-x+5& x\le 5\\ 4x& x>5\end{array}$. What is f(5)?

An absolute value graph opens upward with its corner at (-4, 6) and passes through (-3, 8). What is its equation?

A continuous function is graphed. Its only turning points are shown. On which interval is the function increasing?

$f(x)=\{\begin{array}{ll}-x+6& x\le 0\\ -2x& x>0\end{array}$. What is f(0)?

A parent function passes through (2, 1/2) and (4, 1/4). Which parent is it?

The graph of $y=|x|$ is shifted 4 units right and 4 units down. What is the equation of the image?

$f(x)=\{\begin{array}{ll}-x+5& x\le -3\\ -2x& x>-3\end{array}$. What is f(-3)?