1. Most cars get their best gas mileage when traveling at a relatively slow speed. The gas mileage M for a certain new car is modeled by the function

wheres is the speed in mi/h and M is measured in mi/gal.

1. Using the table, calculate the average rate of change using the interval [16, 30] and [50, 60].

2. What does this rate of change mean?

The table below shows inputs for the interval of 12 < s < 70.

2. The standard form for a quadratic function is given by the function f(x)=2x2‒8x‒24.

1) Rewrite the function two equivalent forms: factored form and vertex form.
2) Use any form to sketch a graph of the function and label the key characteristics.
3) Use different forms of the quadratic function to determine the zeros, axis of symmetry, vertex and max/min of the quadratic function.

3. Analyze the following two functions.

f(x)

g(x)

Write two paragraphs to compare the key characteristics.