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Iteru [2.4K]
2 years ago
15

What is the range of the function y = x 2?

Mathematics
1 answer:
Leno4ka [110]2 years ago
5 0

Answer:

\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

The graph is also attached below.

Step-by-step explanation:

Given the function

y=x^2

  • We know that the range of a function is the set of values of the dependent variable for which a function is defined.

\mathrm{For\:a\:parabola}\:ax^2+bx+c\:\mathrm{with\:Vertex}\:\left(x_v,\:y_v\right)

\mathrm{If}\:a

\mathrm{If}\:a>0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v

a=1,\:\mathrm{Vertex}\:\left(x_v,\:y_v\right)=\left(0,\:0\right)

f\left(x\right)\ge \:0

Thus,

\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

The graph is also attached below.

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Answer:

the answer is C

Step-by-step explanation:

The answer is C.

Because we do not have any tables graphs etc., we can only use the fact that the range is 1

The definition of range is the difference between the largest amount and the smallest amount. In equation form, it should look like this:  

Now lets move to the answer choices:

Answer A. is wrong

If everyone surfed for exactly an hour, the largest amount of time would be 1 hour and the smallest amount of time would also be 1 hour. Put this into the equation and the range would be 0 which is contradicted from the data present

Answer B. is wrong because the range is not the average, the mean is the average. We are looking for the range, not the mean so Answer B. is incorrect.

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