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serg [7]
1 year ago
7

Which statement is true about function f, which is shown in the graph? The graph shows a cubic function. The curve is drawn usin

g the points (minus 1, 8), (minus 1, minus 3.5), (0, 0), (1, 3.5), and (1, minus 8) which intercepts (1, 0), and (minus 1, 0) A. Function f is odd. B. Function f is even. C. Function f is neither even nor odd. D. Function f is both even and odd.
Mathematics
1 answer:
777dan777 [17]1 year ago
4 0

We conclude that f(x) is odd, so the correct option is A.

<h3>Which statement is true?</h3>

f(x) is an odd function if:

f(-x) = -f(x).

f(x) is an even function if:

f(x) = f(-x).

In this case, we know that the function f(x) has the points:

{ (-2, 8), (-1, -3.5), (0, 0), (1, 3.5), (2, -8)}

As you can see:

f(-2) = 8

f(2) = -8

Then:

f(-2) = -f(2)

Also:

f(-1) = -3.5

f(1) = 3.5

Then:

f(-1) = -f(1).

So we conclude that this is an odd function, and the correct option is A.

If you want to learn more about odd functions:

brainly.com/question/2284364

#SPJ1

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
lyudmila [28]

Answer:

-\frac{21}{2}

Step-by-step explanation:

We can solve this system just by summing each side of the equation:

So, both left sides will be sum, and both right sides too.

The resulting expression will be:

(3-y)+(3-y) = 6+21

Ordering and solving both sides:

6-2y=27\\-2y=27-6\\y=\frac{21}{-2}

Hence, the value to the system is -\frac{21}{2}

It's important to combine both equation, because the exercise is asking for the solution of the system.

8 0
3 years ago
multiple choice in picture
podryga [215]

Answer:

0.8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the indefinite integral. (Use C for the constant of integration.) <br> e2x 25 e4x dx.
Sladkaya [172]

Answer:

The solution is  \frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

Step-by-step explanation:

From the question

    The function given is  f(x) =  \frac{e^{2x}}{ 25 + e^{4x}} dx

The  indefinite integral is  mathematically represented as

          \int\limits  {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx

Now  let  e^{2x} =  u

=>   \frac{du}{dx} 2e^{2x}

=>   2 e^{2x}dx =  du

So

\int\limits  {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx =  \int\limits  {\frac{1}{ 2(25 + u^2)} } \, du

= \frac{1}{2} \int\limits  {\frac{1}{ 25 + u^2)} } \, du

=  \frac{1}{2} \int\limits  {\frac{1}{ 5^2 + u^2)} } \, du

= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5}  +  C

Now substituting for  u

\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

3 0
3 years ago
50 POINTS!!!!
amid [387]
The answer is 503.39

Hope this helps
3 0
3 years ago
What number is equivalent to 6.75×10^-4
Leni [432]
Not sure what your asking but:
0.000675 is equivalent to 6.75x10^-4

hope this helps
4 0
3 years ago
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