Find the inverse of $g(x)={\log }_5(x-2)+4$.

A table gives $s(0)=5$, $s(2)=6$, $s(4)=7$, $s(6)=8$ and $s(8)=9$. What pattern do the numbers follow?

A table gives $h(-2)=-20$, $h(-1)=-4$, $h(0)=0$, $h(1)=4$ and $h(2)=20$. Between which inputs does the graph change from concave down to concave up?

Over five equally spaced readings, the water in a filling tank measures 10, 20, 40, 80 and 160 gallons, one reading per minute. Which model reproduces the record?

The graph of $g$ passes through $(1,-5)$ and $(3,-7)$. Find the slope of the secant line joining those two points.

Over five equally spaced readings, the value of a machine measures 4, 3, 2, 1 and 0 dollars, one reading per year. Which model reproduces the record?

Find the inverse of $r(x)=\frac{-2x-5}{x+1}$.

Across the interval $\left[2,5\right]$ the graph of $h$ falls, and it does so ever less steeply. What does that describe on that interval?

A table gives $h(0)=4$, $h(1)=2$, $h(2)=0$, $h(3)=-2$ and $h(4)=-4$. What pattern do the numbers follow?

A table gives $s(0)=1$, $s(2)=5$, $s(4)=25$, $s(6)=125$ and $s(8)=625$. What pattern do the numbers follow?

Find the inverse of $f(x)=5e^{4x}-5$.

The graph of $h$ passes through $(-2,-5)$ and $(2,7)$. Find the slope of the secant line joining those two points.

Over five equally spaced readings, the value of a machine measures 2, 6, 10, 14 and 18 dollars, one reading per year. Which model reproduces the record?

A table gives $f(-3)=-12$, $f(-2)=-3$, $f(-1)=0$, $f(0)=3$ and $f(1)=12$. Between which inputs does the graph change from concave down to concave up?

Find the inverse of $h(x)=(x-4{)}^2+2$ on the restricted domain $x\ge 4$.

Over five equally spaced readings, the area of a spreading stain measures 6, 7, 8, 9 and 10 square centimeters, one reading per minute. Which model reproduces the record?

The water in a filling tank $V$, in gallons after $t$ minutes, is recorded as $V(0)=90$, $V(2)=102$, $V(4)=108$ and $V(6)=114$. Find the average rate of change of $V$ over $\left[2,6\right]$, in gallons per minute.

A quantity $B$ measures the balance of a savings account in dollars after $t$ months, with $B(4)=96$ and $B(10)=60$. Interpret the average rate of change of $B$ over $\left[4,10\right]$.

Find the inverse of $g(x)={\log }_3(x-5)+4$.

For $h(x)=x^2$, compare the average rate of change over $\left[2,6\right]$ with the average rate of change over $\left[3,5\right]$.

A table gives $h(-5)=-12$, $h(-4)=-3$, $h(-3)=0$, $h(-2)=3$ and $h(-1)=12$. Between which inputs does the graph change from concave down to concave up?

For $f(x)=\frac{x+2}{3}$ and $g(x)=3x+7$, simplify $f(g(x))$.

Over five equally spaced readings, the value of a machine measures 10, 13, 16, 19 and 22 dollars, one reading per year. Which model reproduces the record?

A table gives $r(0)=1$, $r(2)=5$, $r(4)=9$, $r(6)=13$ and $r(8)=17$. What pattern do the numbers follow?

A table gives $s(0)=4$, $s(2)=6$, $s(4)=12$, $s(6)=22$ and $s(8)=36$. What pattern do the numbers follow?

For $h(x)=x^2$, compare the average rate of change over $\left[0,1\right]$ with the average rate of change over $\left[-1,4\right]$.

For $f(x)=\frac{x-7}{5}$ and $g(x)=5x-8$, simplify $f(g(x))$.

The function $m(x)=\sqrt{x+4}-5$ has domain $\left[-4,\infty \right)$ and range $\left[-5,\infty \right)$. State the domain and range of $m^{-1}$.

Find the inverse of $g(x)={\log }_2(x-3)+2$.

A table gives $u(2)=-28$, $u(3)=-5$, $u(4)=0$, $u(5)=5$ and $u(6)=28$. Between which inputs does the graph change from concave down to concave up?