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\(A(t)\) is the average high temperature in Aspen, Colorado, \(t\) months after the start of the year. \(M(t)\) is the average high temperature in Minneapolis, Minnesota, \(t\) months after the start of the year. Temperature is measured in degrees Fahrenheit.
Which function had the higher average rate of change between the beginning of January and middle of March? What does this mean about the temperature in the two cities?
Here are two graphs representing functions \(f\) and \(g\).
Select all statements that are true about functions \(f\) and \(g\).
\(f(0)>g(0)\)
There are two values of \(x\) where \(f(x)=g(x)\).
\(f(\text-1)
\(f(\text-3)>g(4)\)
The three graphs represent the progress of three runners in a 400-meter race.
The solid line represents runner A. The dotted line represents runner B. The dashed line represents runner C.
Function \(A\) gives the area, in square inches, of a square with side length \(x\) inches.
| \(x\) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|---|
| \(A(x)\) |
Sketch a graph of function \(A\).
Function \(f\) is represented by \(f(x)=5(x+11)\).
Here is a line \(\ell\). Write equations for and graph 4 different lines perpendicular to \(\ell\) .