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

What is the inverse of f(x) = 2x + 3?

To solve $y=x^2+5x+4$ and y = 2x + 4, a student reaches $x^2=-3x$, divides both sides by x, and reports the single solution (-3, -2). What is wrong?

$f(x)=\sqrt{x}$ and g(x) = x - 3. What is the domain of f(g(x)), in interval notation?

$f(x)=\{\begin{array}{ll}-2x+5& x<1\\ x^2-4& x\ge 1\end{array}$. What is $f(-3)$?

A one-to-one function h has h(6) = 15. What is $h^{-1}$(15)?

A table of h(x) lists h(-3) = 14, h(-2) = 4, h(-1) = -2, h(0) = -4, h(1) = -2, h(2) = 4, h(3) = 14. If the pattern continues, for which input does h(x) = 28 with x negative?

A parent function passes through (1, 1) and (9, 3). Which parent is it?

A parent function passes through (2, 8) and (3, 27). Which parent is it?

For the system (1) x + 2y - z = 2, (2) x - 2y + z = 0, (3) 3x - y + 2z = 4, which pair of equations eliminates y when the two are added as written?

A stall sold 200 boxes for $2400. Large boxes cost $20, medium boxes $12 and small boxes $8, and twice as many medium boxes sold as small boxes. Which system models this, with l, m and s the counts?

For f(x) = 8x - 4 and g(x) = (x + 3)/8, a student finds f(g(x)) = x - 1. What is established?

A table of h(x) lists h(-2) = 18, h(-1) = 8, h(0) = 2, h(1) = 0, h(2) = 2, h(3) = 8, h(4) = 18. For which input does h(x) = 18 with x negative?

A garage charges $6 for the first hour or any part of it, then $2 for each additional hour or part of an hour. What is the charge for a stay of 2 hours 55 minutes?

A function passes through (5, 12). Its inverse must pass through which point?

Which of these parent functions has a domain of every real number and a range of every real number, with an S shape?

A parent function graphs as a curve hugging a horizontal line on the left and rising ever more steeply to the right. Which parent function does it belong to?

How many real solutions does the system $y=x^2-6x-5$ and y = -x + 3 have?

How does the graph of $f(x)=((1/6)x{)}^3$ compare with the graph of $y=x^3$?

How does the graph of $f(x)=\sqrt{-x}$ compare with the graph of $y=\sqrt{x}$?

A stall sold 250 boxes for $2000. Large boxes cost $12, medium boxes $8 and small boxes $6, and twice as many medium boxes sold as small boxes. Which system models this, with l, m and s the counts?

What is the parent function of f(x) = 21/(x + 1) + 3?

A workshop makes c chairs and t stools. Each of the chairs uses 4 units of material, each of the stools uses 5, 80 units are available, and at most 12 chairs can be made. Which pair of constraints states this?

$f(x)=x^2+5$ and g(x) = 2x - 1. What is f(g(-2))?

Is $f(x)=2x^4+5x^2-2$ even, odd or neither?

How many points do the circle $x^2+y^2=16$ and the vertical line x = 4 have in common?

If f(x) = 5x + 8, for what value of x does f(x) = 23?

A function passes through (6, -1). Its inverse must pass through which point?

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

Solve the system $y=x^2-3x-3$ and y = 2x - 3. Give the solutions as ordered pairs.

The graph of $y=x^2$ is shifted 6 units right and 2 units up. What is the equation of the image?

A feasible region has vertices (0, 0), (0, 7), (2, 6), (5, 2). A student tests only the interior point (1, 1) and reports the maximum of P = 2x + 5y as 7. What is wrong?

How does the graph of $f(x)=(1/3)|x|$ compare with the graph of $y=|x|$?

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

Consider the system x + y + z = -3, x + 2y - z = -9, 2x + 2y - z = -12. How many solutions does it have?

f(x) = -3x + 2 and $g(x)=x^2$. What is f(g(x))?

Solve the system x + y + z = 2, x + 2y - z = -1, 3x - y + 2z = 9. What is the solution as an ordered triple (x, y, z)?

The graph of $y=\sqrt{x}$ is shifted 6 units right and 2 units up. What is the equation of the image?

For the system (1) 2x + y + 3z = 6, (2) x - 2y + z = 0, (3) 3x - y + 2z = 4, which pair of equations eliminates y when the two are added as written?

If f(x) = -2x - 7, for what value of x does f(x) = -25?

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

f(x) = x + 8 and g(x) = x - 6. What is the domain of (f/g)(x), in interval notation?

A function has domain [4, 5). Written as an inequality, what is its domain?

The point (4, 64) on the graph of $y=x^3$ moves to (4, 256) under a single vertical stretch or compression. What is the equation of the image?

How does the graph of $f(x)=(1/6)x^3$ compare with the graph of $y=x^3$?

$f(x)=\{\begin{array}{ll}-x+6& x\le 0\\ 4x& x>0\end{array}$. What is $f(0)$?

Is $f(x)=2x^5+4x^4$ even, odd or neither?

How is the graph of $f(x)=\sqrt{x-2}+4$ shifted horizontally from the graph of $y=\sqrt{x}$?

To verify that f(x) = 2x - 2 and g(x) = (x + 2)/2 are inverses, what must both f(g(x)) and g(f(x)) simplify to?

A parent function passes through (1, 1) and (8, 2). Which parent is it?

If $g(x)=x^2+5x$, what is g(a - 2) in expanded form?

How is the graph of $f(x)=|x|-1$ shifted vertically from the graph of $y=|x|$?

What is the range of $f(x)=-(x+2{)}^2+4$, written in interval notation?

Solve the system 2x - y + z = 8, x + 2y - z = -3, x - 2y + z = 7. What is the solution as an ordered triple (x, y, z)?

$f(x)=x^2+5$ and g(x) = -2x - 1. What is f(g(-2))?

What is the parent function of f(x) = 3log(x + 1) - 7?

A function has domain (0, 7]. Written as an inequality, what is its domain?

Is $f(x)=(x-1{)}^2+(x+1{)}^2$ even, odd or neither?

Solve the system $x^2+y^2=625$ and y = x + 17. Give the solutions as ordered pairs.

A garage charges $4 for the first hour or any part of it, then $3 for each additional hour or part of an hour. What is the charge for a stay of 2 hours 55 minutes?