Problem 1: Let p and q be the piecewise linear functions given by their respective graphs in Figure 1 below. Use the graphs to answer the following questions 3+ -3 -2 2. -2+ Figure 1 (a) Let F(r) = p(q(r)). Determine F'(0) and F(3). (b) Find a value of r for which F(r) does not exist. Explain your thinking. (c) Let G(r)= q(q(x)) and H(r) q(p(r)). Determine G'(-2) and H' (0).

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.