Suppose that and . What is ?
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Solving an equation for an Unknown Function Suppose that
Find a function f such that (Think about what operations you would have to perform on the formula for f to end up with the formula for h). Now suppose that
Use the same sort of reasoning to find a function g such that
Shifting the Coordinate Plane Suppose that each point in the coordinate plane is shifted 3 units to the right and 2 units upward. The point (5, 3) is shifted to what new point?
Prove: Functions with constant Rate of Change Are Linear. Suppose that the function has the same average rate of change between any two points.
Rearranging the equation in part to show that
How does this show that is a linear functions? What is the slope, and what is the - intercpt?