1. Review the Section 2.6 lecture. What do the words 'difference' and 'quotient' mean? How can we use that information to help us remember the formula for the difference quotient? Find the difference quotient for f(x) = 2x? 3. Start with the formula for the difference quotient. 2. Review the Section 2.6 lecture. When we are finding the difference quotient, what do we look for to check that we are on the right track once we finish removing parentheses and canceling like terms? Find the difference quotient for f(x) = x? 5x 2. Start with the formula for the difference quotient. 3. Explain why it is helpful to know the basic function shapes and discuss some ways to remember them. Sketch the following: 1 f(x)={i if x1 5. Explain in your own words how to algebraically test the symmetry of the graph of a function. What do you replace x or y with for each type of symmetry test (x-axis, y-axis, and origin)? Show the steps for algebraically testing the symmetry of: y=x35x 6. Explain in your own words how to compose two functions. Then find (f o g)(x) for the given functions and simplify. o) =22 +1 900 =[5 7. Explain in your own words how to find the domain of a composite function. Where do we need to check for restrictions on x? Find the domain of (f g)(x) and state the domain in interval notation. fG) =17 g0 =12 flgt) = 7 x+1 2+x