Math 131 E Test 1 Carter Name____________________________
Show all work in order to receive credit. 9/14/05
1. The function f(t) = 700 – 3t2,
0t
represents the height of a sand dune in centimeters. Time, t, is measured in years since
1995. Include units where appropriate in answers.
a) What is the domain and range of f(t)?
b) What was the height of the sand dune in 1995?
c) Evaluate and interpret f(10).
d) Interpret
1(625)f
.
2. Given the graphs, find the following. (8)
a. f(g(-2))
b. Sketch h(x) = f(x-1) – 2 on the grid.
3 a. List the zeros of the function?
b. Use the graph to estimate c(4).
c. Estimate the average rate of change of the function on the interval x=-1 to x=1.
d. Draw the associated secant line.
e. Sketch the line tangent to c(x) at x = 0.
f. Which is larger c (0) or c (-1)? Explain.
4. Solve for x.
a.
1
2
x x
e
b. ln(x-7) = 8 c. sin 2t = 0.5
