Mr. Simonds MTH 95 โ Week 1 Extension Problems
Page 1 of 1
Extension problems involving functions and linear functions
1. Find a linear function of form
()
gx mx b
=
+ given that
(
)
82g
=
and
()
27gโ=. Is this an
increasing function or a decreasing function?
2. Suppose that
()
412ft t=โ
a. Find and simplify
()
4fx+. b. Find and simplify
()
4fx+
c. Find and simplify
()
(
)
4
f
xfx+โ d. What is the zero of
f
?
e. What is the function value at 10?
f. At what number is the function value equal to 48 ?
g. What are the t and y intercepts on a graph of
(
)
yft=?
h. For what values of t is
()
40ft>โ ?
3. Suppose that
f
is a linear function of
x
and
(
)
32f
=
โ and
(
)
714f
=
โ.
a. What is the value of
f
at 9?
b. At what number is the value of
f
equal to93?
4. State the domain and range of each of each of the functions below; state both the domain and
range using interval notation. Also state the zeros of each function.
5. Suppose that
g is a linear function of
x
where
(
)
612g
=
and
(
)
612g
โ
=.
a. What are the zeros of g?
b. What are the domain and range of g?
f
g