MAC 2105 Week 4 Quiz 4 | Keiser University

Week 4: Quiz 4

Question 1

Given:
f(x) = 3x² + 2x - 1
Find the vertex.

Correct Answer: (-1/3, -4/3)



Question 2

Given:
f(x) = -2x² + 3x - 3
Find f(-3).

Correct Answer:
-30



Question 3

Find all solutions for x :
|3x - 4| = 20

Correct Answer: x = 8 or x = -16/3



Question 4

Determine the domain of the function:




Correct Answer: All Real numbers excluding x=2 and x=-1

, Question 5

Write the equation of the line with slope -2/3 and y-intercept 3. Write the answer in
slope-intercept form.
Correct Answer: y = (-2/3)x + 3




Question 6

Find the equation of the line whose slope is 5 and which passes through the point
(1, 2).



Correct Answer: y = 5x - 3
Answer Feedback: Slope-intercept form: y=mx+b
You have to know the "m" and "b" to find the equation. Since the "m"
is given (m=5), let's plug that into the equation or y=5x+b. There are
3 variables not accounted for: y,x,and b. I do know two of them (1,2)
then I can find the 3rd. Let's plug these in or 2=5*1+b or 2=5+b.
Solve for b by subtracting 5 from both sides getting -3=b. Now plug
the "m" and "b" back into y=mx+b getting y=5x-3.

Question 7

Given:
f(x) = 3x² + x - 1
g(x) = x² - 2x + 3
Find: (f - g)(x)
Correct Answer: 2x² + 3x - 4




Question 8

Given: