Quiz 2

Form A

Show all work in a neat and organized fashion. Clearly indicate your answers.

10 points possible.

1. (2 pts.) Consider this pair of functions.

V(z) = your score out of 100 on the first test in this course when you studied z   hours the week before the test.

Q(v) = your letter grade on the first test in this course when you scored v points out of 100 on it.

These two functions can be combined by function composition. Which of the following is the correct new function? Q°V, Z°Q, V°Q, Q°Z, Z°V, V°Z

2. (2 pts.) Let g(p)=p²-3p+8 and p(m)=m²+5. Find g(p(m)). You do not have to simplify your answer.

3. (3 pts.) Consider

S(t)= 150 1+83e-.6t ;       S(t) = 76.4

(a) Is S(t)=76.4 an input or an output value?

(b) Find the output or input that corresponds to S(t)=76.4. Round your answer to four decimal places.

4. (3 pts.) Consider

S(t)= 150 1+83e-.6t ;       t = 13.6

(a) Is t=13.6 an input or an output value?

(b) Find the output or input that corresponds to t=13.6. Round your answer to four decimal places.