1:02 AM Wed Dec 6 35% inst-fs-iad-prod.inscloudgate.net Question 3 (7 points) Let a(x) = 2" and c(x) = a (x). 2 of 2 (a). (2 points) Visually depict (graph) a(x) and c(x) on the axes below. For each graph: (i). label the coordinates of 2 points (for example, (-1,1) if that were on the graph) (ii). correctly illustrate the curve's shape. a(x ) c(x) (b). (3 points) What is the domain and range of a(x)? What does this tell you about the domain and range of c(x )? Why? (c). (1 point) For what value of r does a(r) = 25? Bound r above and below by the nearest integers. Explain how to determine this without using a calculator. (d). (1 point) For what value of r does a(r) = 25? Write in terms of c, then re-write using loga- rithmic notation. Do not evaluate this numerically.1:02 AM Wed Dec 6 o o 0 inst-fsiad-prod.inscloudgate.net Question 1 (3 points) Solve for x in the equation 82 : 6" in two different ways (use different bases) without using a calculator. Then use a calculator to check if your answers agree (should they?) Question 2 (5 points) Suppose you are looking to deposit money into a savings account for at years and have two banks to choose from. At Alpha Bank, your money would be worth A(x) : 52x 200