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3 years ago

7

Graph y=x^2+1 is it a function

1 answer:

frez [133]3 years ago

7 0

Hello,

The graph of y = x² + 1 most certainly is a function.
It is a function because for every value of x, there is only one value of y.

The domain of y = x² + 1 is the set of all real numbers and the range is y ≥ 1.

You might be interested in

A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If 18 meters of fencing are use

Rashid [163]

Answer:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

Step-by-step explanation:

For this case we assume that the total perimeter is 18 ft, we have a wall and the two sides perpendicular to the wall measure x units each one so then the side above measure P-2x= 18-2x.

And we are interested about the maximum area.

For this case since we have a recatangular area we know that the area is given by:

$A= LW$

Where L is the length and W the width, if we replace from the values on the figure we got:

$A(x)= x *(18-2x) = 18x -2x^2$

And as we can see we have a quadratic function for the area, in order to maximize this function we can use derivates.

If we find the first derivate respect to x we got:

$\frac{dA}{dx} = 18-4x=0$

We set this equal to 0 in order to find the critical points and for this case we got:

$18-4x=0$

And if we solve for x we got:

$x=\frac{18}{4}=\frac{9}{2} m$

We can calculate the second derivate for A(x) and we got:

$\frac{d^2 A}{dx^2}= -4$

And since the second derivate is negative then the value for x would represent a maximum.

Then since we have the value for x we can solve for the other side like this:

$L= 18-2x = 18-2 \frac{9}{2}= 18-9 =9m$

And then since we have the two values we can find the maximum area like this:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

8 0

3 years ago

2. The girls decide to only spend $40 between them. On average, what is the most each girl can spend? Write and solve an inequal

pochemuha

Answer:

$40 / x ; $10 / y

Step-by-step explanation:

1.)

For the question, the number of girls aren't given ;

Assume the number of girls = x

The total amount they agreed to spend between themselves = $40

Amount spent on average :

Total amout to be spent / number of girls

Amount spent on average by each girl = $40 / x

2.)

The cost of ice cream isnt given;

Assume, cost per ice cream $y

Amount to be spent on on ice-cream = $10

Number of ice creams that can be purchased :

Amount to be spent on ice-cream / cost per ice cream

$10 / y

8 0

3 years ago

Order the following numbers from least to greatest...

poizon [28]

Answer:

-25/3, $\sqrt{x} 15$ ,-pi/2,3pi

Step-by-step explanation:

6 0

3 years ago

14 increased by 14 5/7

musickatia [10]

28 5/7
• Increased means addition
• Add the whole number first
• 14 + 14 5/7 is equal to 14 + 14 + 5/7
hope this helps x

3 0

3 years ago

I need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

nevsk [136]

(1,-3) is the answer i believe but not 100% sure

5 0

3 years ago