Problems 90 − 99 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. If f ( x ) = x − 3 and g ( x ) = x − 7 x − 4 , find the domain of ( f g ) ( x ) .
Problems 90 − 99 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. If f ( x ) = x − 3 and g ( x ) = x − 7 x − 4 , find the domain of ( f g ) ( x ) .
Solution Summary: The author explains the domain of a function, which is the set of input values at which the function is real and defined.
Problems
90
−
99
are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
If
f
(
x
)
=
x
−
3
and
g
(
x
)
=
x
−
7
x
−
4
, find the domain of
(
f
g
)
(
x
)
.
(x)=2x-x2
2
a=2, b = 1/2, C=0
b) Vertex v
F(x)=ax 2 + bx + c
x=
Za
V=2.0L
YEF(- =) = 4
b
(글)
JANUARY 17, 2025
WORKSHEET 1
Solve the following four problems on a separate sheet. Fully justify your answers to
MATH 122
ล
T
earn full credit.
1. Let f(x) = 2x-
1x2
2
(a) Rewrite this quadratic function in standard form: f(x) = ax² + bx + c
and indicate the values of the coefficients: a, b and c.
(b) Find the vertex V, focus F, focal width, directrix D, and the axis of
symmetry for the graph of y = f(x).
(c) Plot a graph of y = f(x) and indicate all quantities found in part (b)
on your graph.
(d) Specify the domain and range of the function f.
OUR
2. Let g(x) = f(x) u(x) where f is the quadratic function from problem 1
and u is the unit step function:
u(x) = { 0
1 if x ≥0
0 if x<0
y = u(x)
0
(a) Write a piecewise formula for the function g.
(b) Sketch a graph of y = g(x).
(c) Indicate the domain and range of the function g.
X
фирм
where u is the unit step function defined in problem 2.
3. Let…
Question 1
"P3
Question 3: Construct the accessibility matrix Passociated with
the following graphs, and compute P2 and identify each at the
various two-step paths in the graph
Ps
P₁
P₂
Chapter 7 Solutions
Mylab Math With Pearson Etext -- Standalone Access Card -- For Precalculus (11th Edition)
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