Lesson 4 Quiz C
Name___________________
1. The diagram below shows the graphs of f(x) and g(x). Use the graphs to determine each of the
following. Explain your reasoning or show your work in each case.
a. Determine the value of [h – d](–1).
b. Identify one zero of [h + d](x).
c. Determine the value of [h · d](1).
d. Find the number of zeroes of [h-d](x).
2. Consider the functions f(x) = 4x + 10 and g(x) = 5x2 + 6. Determine each of the following.
Show your work.
a. A rule for f – g
b. f(g(4))
c. A rule for f(g(x))
c. A rule for g(f(x))
3. In one community, the enrollment in the high school is increasing by 4% each year. In 2008,
there were 1600 students enrolled in the high school. The number of teachers at the high school
depends on the enrollment and can be determined by the function f(E) =
𝐸
20
+4
a. The function that will give the high school enrollment t years from 2008 is
E(t) = 1,600(1.04t). Explain why this function rule is the correct one for this situation.
b. Write a function rule that will give the number of teachers at the high school as a
function of the number of years since 2008.
c. How many teachers should the high school expect to have in 2010? Show your work
or explain your reasoning.
4.
Consider the functions f(x) = 4x – 5 and g(x) = x2 + 5x – 9. Evaluate the following
combinations of these functions.
a. [f + g](3)
b. [f – g](3)
c. [f · g](3)
d. [f÷ g](3)
e. f(g(3))
f. g(f(3))
g. A rule for f(g(x))
h. A rule for g(f(x))