The critical points are at x = 1 and x = 4 giving you the intervals (-inf, 1), (1, 4) and (4, inf).
By substituting x values in these 3 intervals, you can see that f'(x) is positive in the first and third intervals and negative in the second interval.
This means that f(x) is increasing in the first and third intervals and decreasing in the second interval.
The answer is D.
The equation of the line will be y = 4x. Then the correct option is A.
<h3>What is the equation of line?</h3>
The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
Writing an Equation from a Table
A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 24, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.
Then at (2, 8) and (3, 12), we have
y – 8 = [(12 – 8) / (3 – 2)] (x – 2)
y – 8 = 4x – 8
y = 4x
Then the correct option is A.
More about the equation of line link is given below.
brainly.com/question/21511618
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75 hope this helps but I’m not sure what you’re asking
A. 4x + 9 = 34
<u> - 9 - 9</u>
<u>4x</u> = <u>25</u>
4 4
x = 6.25
B. (x - 4)(x + 2) = 0
x - 4 = 0 U x + 2 = 0
<u> + 4 + 4</u> <u> - 2 - 2</u>
x = 4 x = -2
C. 2x² - 6x + 4 = 0
2(x²) - 2(3x) + 2(2) = 0
<u>2(x² - 3x + 2)</u> = <u>0</u>
2 2
x² - 3x + 2 = 0
x = <u>-(-3) +/- √((-3)² - 4(1)(2))</u>
2(1)
x = <u>3 +/- √(9 - 8)</u>
2
x = <u>3 +/- √(1)
</u> 2<u>
</u> x =<u> 3 +/- 1
</u> 2
x = <u>3 + 1</u> U x = <u>3 - 1</u>
2 2
x = <u>4</u> x = <u>2</u>
2 2
x = 2 x = 1
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