Which of the following equations is a constant function? y = x y = 5 x = 5

Mathematics

1 answer:

Mamont248 [21]3 years ago

8 0

Answer:

Second Option

$y = 5$

Step-by-step explanation:

A constant function is one for which the range does not change regardless of the value of the domain.

$f (x_1) = f (x_2) = f (x_3) = m$

Where m is a constant.

The constant functions are horizontal lines parallel to the axis of the x

Note that

$y = x$ is not a constant function because the value of y changes when x changes.

x = 1, y = 1

x = 2 y = 2

$x = 5$ is not a constant function because the range of the function is not constant. $x = 5$ is a vertical line

$y = 5$ is a constant function, since for any of the value of x, the value of y will always be 5

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How many solutions y=x^2-10x+25

MrRissso [65]

<h2>There are infinite solution of y.</h2>

Step-by-step explanation:

Given,

y = $x^2$ - 10x + 25

To find, the total number of solutions = ?

∴ y = $x^2$ - 10x + 25

⇒ y = $x^2$ - 2(x)(5) + $5^2$

⇒ y = $(x-5)^{2}$

There are infinite solution of y.

Thus, there are infinite solution of y.

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Answer:

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Step-by-step explanation:

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