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3 years ago

Is the function f(x) x³-11x odd even or neither

Mathematics

1 answer:

Paul [167]3 years ago

4 0

Answer:

Step-by-step explanation:

A function is odd if f(-x) = -f(x)

A function is even if f(-x) = f(x)

And neither if neither are true.

In this case if we plugged in a negative x here

f(-x) = (-x)^3 - 11(-x)

f(-x) = -x^3 + 11

Therefore, this function is odd because if we pulled out a negative one again we would get back the original function. Or in other words f(-x) = -f(x) for f(x) = x^3 - 11x

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can anyone help me with these? I'm having a lot of trouble and I'm extremely behind... I need to catch up badly!!! i have been a

TiliK225 [7]

Answer:

Step-by-step explanation:

5 and 6 are the same, so I will do one of those and you can use the example to do the other one.

Slope-intercept form is y = mx + b. If we have 2 points and nothing else, we can use those 2 points in the slope formula to find the slope (the m value in the equation) and then plug that in with either one of the points to get the equation. The slope formula is:

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

Using our points in question 5: (2, 4) (5, 4)

$m=\frac{4-4}{5-2} =\frac{0}{3}=0$ So m = 0. Now pick a point and use it in the equation along with the m value to solve for b. I will use (2, 4):

4 = 0(2)+b and

4 = 0 + b so

b = 4.

Now we have m = 0 and b = 4 so we fill in the equation with that info:

y = 0x + 4 or simplifying,

y = 4

For question 7 they want the line parallel to y = 3x + 6 that goes through (-10, 2.5). For a line to be parallel to another line, their slopes have to be identical. The slope in y = 3x + 6 is 3. So the slope of the "new" line is going to be 3 as well. Now we will use that slope and the given point to solve for b, just like in #5:

2.5 = 3(-10) + b and

2.5 = -30 + b so

b = 32.5

Now we will fill in:

y = 3x + 32.5

For question 8 they want the line perpendicular to y = -4x - 2 that goes through (-16, -11). For a line to be perpendicular to another line, their slopes have to be opposite reciprocals. Opposite meaning the sign is opposite (positive becomes negative and negative becomes positive), and reciprocal meaning the fraction is flipped upside down. The slope in our line is -4. That means that the perpendicular slope is positive 1/4. Using that along with our point, we will again solve for b:

$-11=\frac{1}{4}(-16)+b$ which simplifies to

-11 = -4 + b so

b = -7

Now we fill in:

$y=\frac{1}{4}x-7$

For question 8, in order to find the line parallel to the given line, you need to know the slope. In the form it is currently in, we do not know the slope. We need to put it into slope-intercept form to find the slope, then we will proceeed as above. If

x + 4y = 6, then

4y = -x + 6 and, dividing by 4,

$y=-\frac{1}{4}x+\frac{3}{2}$

(The 3/2 is reduced from 6/4)

Now we can see the slope is -1/4. We use that along with the point (-8, 5) to solve for b:

$5=(-\frac{1}{4})(-8)+b$ which simplifies to

5 = 2 + b so

b = 3

Now we fill in, keeping in mind that lines are parallel when they have the exact same slope:

$y=-\frac{1}{4}x+3$

6 0

3 years ago

Please help me with this!

mafiozo [28]

A (-5, 6)
B (-5, 2)
C (-9, 2)
D (-9, 6)

As it is just a rotation around the origin by 180, you can just change the sign in front of the numbers :)

4 0

3 years ago

Please help thank you.

marusya05 [52]

This problem can be completed in 2 ways. Both are acceptable.

Option 1:

This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.

The area of the rectangle is the base times the height.

$9 \times 4=36$

The area of one of the triangles is half the base times the height.

$\dfrac{1}{2} \times 5 \times 4 = 10$

The other triangle must have that area too.

$36+10+10=56$

The area is 56 square centimeters.

Option 2:

We can use the area formula for the trapezoid.

$A=\dfrac{b_1+b_2}{2} \times h$

Where $b_1$ is the length of the shorter base
and $b_2$ is the length of the longer base
and $h$ is the height.

The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.

The height is 4.

$A=\dfrac{9+19}{2} \times 4$

$=56$

Same answer. The area is 56 square centimeters.

Both options are two acceptable ways the problem can be tackled.

7 0

3 years ago

PLS HELP ASAP. Thank you! Will mark brainliest.

AlekseyPX

Answer:

Volume: 2047.5 in. cubes

surface area: 1067.5 in.

3 0

2 years ago

Solve for m. m + 4 3 = 2 what is m HELP MEEEEE!!!!!!!!!!!

Anna71 [15]

hi there user! Looks like your looking for help, so Mizuki came here to help you!

the answer is:

m is 2/3

The whole work I did:

m + 4 ÷ 3 = 2

m + 4/3 = 2

m + 4/3 - 4/3 = 2 - 4/3

m = 6/3 - 4/3

m = 2/3

Anyways hope this helped! qwq

7 0

3 years ago

Read 2 more answers

Is the function f(x) x³-11x odd even or neither​

Is the function f(x) x³-11x odd even or neither