Math 110 Quiz 9 (Sections )

Transcription

1 Name: Section (circle one): LSA (001) Engin (00) Math 110 Quiz 9 (Sections ) Available: Wednesda, November 9 Frida, December 1 1. You have 30 minutes to complete this quiz. Keeping track of time is our responsibilit. If ou do not return this quiz after 30 minutes, our grade on this quiz ma be lowered.. Show an appropriate amount of work (including appropriate eplanation) for each problem, so that graders can see not onl our answer but how ou obtained it. 3. Math Lab staff will not answer questions about the content of this quiz.. You ma use a calculator on this quiz. 5. No other aids (notes, tetbooks, computers, phones, smartwatches, etc.) are allowed. 6. Turn off or silence all phones and other electronic devices. 7. Do not discuss the contents of this quiz with anone other than a Math 110 instructor until Frida, December 1 at :00 PM. Problem Points Score Total: 30 Math Lab manager (print and sign name): Start time stamp: End time stamp:

2 Math 110 Quiz 9 (Fall 017) page 1. [1 points] To the right is a graph of = f() for a function f() with domain. Use the graph to answer parts a b. In each part, clearl write the letter of our answer choice in the answer blank. Ambiguous answers will be marked incorrect. = f() a. [3 points] Which one of the following si graphs A F is the graph of = f 1 ()? A B C D E F b. [3 points] Which one of the following si graphs G L is the graph of = f( )? G J H K 8 6 I L

3 Math 110 Quiz 9 (Fall 017) page 3 The graphs of = f() (solid) and = g() (dashed) are shown to the right. The functions f() and g() each have domain. Use the graphs to answer parts c d. In each part, clearl write the letter of our answer choice in the answer blank. Ambiguous answers will be marked incorrect. = f() = g() c. [3 points] Which one of the following si graphs A F is the graph of = f() g()? A B C D E F d. [3 points] Which one of the following si graphs G L is the graph of = f()g()? G J H K I 8 6 L

4 Math 110 Quiz 9 (Fall 017) page. [ points] You do not need to show our work in this problem. a. [ points] Suppose that f() = cos ( ( 1) ( 1) ) and g() = 1. Find a formula for a function h() so that h(g()) = f(). b. [ points] Suppose that h() = r(z) = e z5 +π and s(z) = e π z. Find a formula for a function t(z) so that r(z) = s(t(z)). t(z) = 3. [ points] Let l = m(d) = ln(π + 5 d+3 ). Find a formula for d = m 1 (l). Show our work. m 1 (l) =. [ points] Below is the graph of b = Q(a) for some function Q. Note that the dashed lines indicate asmptotes of the graph. What are the domain and range of the function Q 1 (b)? b b = Q(a) 1 3 a Domain: Range:

5 Math 110 Quiz 9 (Fall 017) page 5 5. [8 points] Prof. Noether likes to eat peanuts while she does her grading. Prof. Noether alwas eats peanuts as rewards upon completion of grading each eam but does not eat peanuts while she is in the active process of grading. Let s(n) be the number of seconds since 10:00 a.m. on December 1, 017 when Prof. Noether completes the grading of the n th eam. Let p(s) be the quantit of peanuts, in grams, Prof. Noether has eaten s seconds after 10:00 a.m. on December 1, 017. a. [ points] Is the function s(n) invertible? Eplain our answer in the contet of this problem. invertible not invertible Eplanation: b. [ points] Is the function p(s) invertible? Eplain our answer in the contet of this problem. invertible not invertible Eplanation: c. [ points] Give a practical interpretation of p(s(5)) = 70 in the contet of this problem. Be sure to include appropriate units in our interpretation. d. [ points] Is the composite function p(s(n)) invertible? Eplain our answer in the contet of this problem. invertible not invertible Eplanation: