Complex Conjugate Standard Form and Function Graphs Algebra Worksheet

Saad Abdullah MajrashiAssignment Homework 3 due 09/26/2021 at 11:59pm CDT
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1. (1 point) Given the function f (x) = 5×2 +2x−7. Calculate
the following values:
f (0) =
f (2) =
f (−2) =
f (x + 1) =
f (−x) =
4. (1 point)
Let f (t) = 4 − 3t 2 . Evaluate f (t + 1).
f (t + 1) =
t 2+
t+
Answer(s) submitted:
Note: Your answer should be completely simplified. Unsimplified answers will not be accepted.
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Answer(s) submitted:
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2. (1 point) Given the function f (x) = |3x − 39|, calculate the
following values:
5. (1 point)
Let f be a function given by f (x) = −3×2 + 3x. Find and simplify the following:
f (2) =
f (1) =
a. f (x) − 4 =
f (0) =
b. f (x − 4) =
f (−1) =
c. −4 f (x) =
f (−2) =
d. f (−4x) =
Answer(s) submitted:
Answer(s) submitted:
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3. (1 point) Let
6. (1 point)
x+5
f (x) =
.
3x − 2
Compute the following values. If one is not defined, type
Undefined .
f (0) =
The graph of a function f is shown below.
f (9) =
f (2/3) =
Answer(s) submitted:
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Use the given graph of f . If there is more than one answer to a
question, you can use commas and the word “or”. When solving an equation for the variable x, your answer should be in the
form “x=\ \ \ ”.
a. Evaluate f (−3).
f (−3) =
b. Solve f (x) = −3.
Use interval notation in your answers. Use inf to represent infinity.
Answer(s) submitted:
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a. Solve f (x) > −3
Solution:
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b. Solve f (x) ≤ −3
Solution:
7. (1 point)
Answer(s) submitted:
Use the graph to find the missing values. There may be
more than one correct answer, in which case you should
enter your answers as a comma separated list. If there
are no correct answers, enter NONE.
(a) f (0) =
(b) f
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9. (1 point)
help (numbers)


The graph of function f (x) is shown below.
= 0. help (numbers)
Based on the given graph of f (x), fill in the blanks. If there
are more than one answers for a blank, use a comma to separate
your answers.
f (0)=
f(
)=0
(Click on graph to enlarge)
The function’s domain, in interval notation, is
.
Answer(s) submitted:
The function’s range, in interval notation, is
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Answer(s) submitted:
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8. (1 point)
The graph of a function f is shown below.
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Use the given graph of f . If there is more than one answer to a
question, you can use commas and the word “or”. When solving an equation for the variable x, your answer should be in the
form “x=\ \ \ ”.
10. (1 point)
The graph of function f is shown below.
a. Evaluate f (3).
f (3) =
b. Solve f (x) = −1.
Answer(s) submitted:
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