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dezoksy [38]
3 years ago
12

Which graph is defined by f(x) = |x2 − x − 2|? A. graph A B. graph B C. graph C D. graph D

Mathematics
2 answers:
Sloan [31]3 years ago
8 0

Answer:

Step-by-step explanation:

When the question comes with answer choices, please share them.   In this case it sounds like there were four graphs from which to choose.

f(x) = |x^2 − x − 2| is always zero or greater, due to the absolute value function.

x^2 − x − 2 = 0 factors to (x - 2)(x + 1) = 0, so the zeros of f(x) are {-1, 2}.

Plot x-intercepts {-1, 2}.  The axis of symmetry is the vertical line x = 1/2, which is precisely halfway between the x-intercepts.  If we now choose the test number x = 0, we find the value of f(0) to be |-2}, which tells us that the y-intercept is (0, |-2|), or (0, 2), so we have a parabolic curve opening down between x = -1 and x = 2 and touching (but not crossing) the x-axis at those x-values. To the left of x = -1 the curve increases steadily from y = 0 in Quadrant II; to the right of x = 2, the curve increases steadily from y = 0 in Quadrant I.

nirvana33 [79]3 years ago
7 0

Answer:

From another Brainly user's answer it sounds as if the answer is Graph D. Because it looks like a Parabola.

Step-by-step explanation:

HOPE THIS HELPS!!!

BRAINLIEST???

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What is 6^-2/2^4 ???????????????​
sergij07 [2.7K]

Answer:

1/52

Step-by-step explanation:

2 to the fourth is 16, and 6 to the second is 36. However, since it's a negative exponent, you'd have to move it down to to the bottom of the fraction, creating 1/16+36, which makes 1/52.

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4 years ago
I need help
pashok25 [27]

Step-by-step explanation:

[ Refer to the attachment ]

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8 0
3 years ago
Max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed
alexira [117]
Rate x time = distance

8r = 460  Divide both sides by 8

rate = 57.5 miles per hour

At that speed (57.5mph) and the distance of 661.25miles we should divide

661.25 miles ÷ 57.5 mph = 11.5 hours

4 0
3 years ago
Read 2 more answers
Subtract the complex numbers: (-2 + 12i) - (-1 - 9i)
Andrew [12]

9514 1404 393

Answer:

  C)  -1 +21i

Step-by-step explanation:

For many purposes, "i" can be treated as though it is a variable. Collect terms in the usual way.

  (-2 +12i) -(-1 -9i) . . . . given

  = -2 +12i +1 +9i . . . . use the distributive property to eliminate parentheses

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3 0
3 years ago
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Help question attached multiple choice
Rina8888 [55]

ANSWER

x =  \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}

EXPLANATION

The given trigonometric equation is

\cos(x)  + 2 \cos(x)  \sin(x)  = 0

We factor cos(x) to get:

\cos(x) (1 + 2 \sin(x) ) = 0

Apply the zero product property to obtain:

\cos(x)  = 0 \: or \: 1 + 2 \sin(x)  =  0

\cos(x)  = 0 \: or \: \sin(x)  =   -  \frac{1}{2}

Using the unit circle,

\cos(x)  = 0

when

x =  \frac{\pi}{2}

and

x =  \frac{3\pi}{2}

We know

\sin(y)  =  \frac{1}{2}

when

y=  \frac{\pi}{6}

The sine function is negative in the third and fourth quadrants.

x = \pi +  \frac{\pi}{6}  =  \frac{7\pi}{6}

x = 2\pi  -   \frac{\pi}{6}  =  \frac{11\pi}{6}

Hence the solutions are:

x =  \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}

6 0
3 years ago
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