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The function f(x) = −(x + 5)(x + 1) is shown.

What is the range of the function?

a.all real numbers less than or equal to 4
b.all real numbers less than or equal to −3
c.all real numbers greater than or equal to 4
d.all real numbers greater than or equal to −3

The function fx x 5x 1 is shownWhat is the range of the function aall real numbers less than or equal to 4 ball real numbers less than or equal to 3 call real n class=

Respuesta :

CrazyEmily
They give you a graph so this will be easy. What I do is imagine shading going back to the y-axis from the graph. This is how to get a visual of the range.

Since the shading would go from 4 all the way to negative infinity, the answer is all real numbers less than or equal to 4.


Best of luck!

Range of the given function is all real numbers less than or equals  to 4.

What is the range of the function?

The range of a function is the set of all its output values.

According to the given equation we have

f(x) = -(x+5)(x+1)

Let, y = -(x+5)(x+1)

To find the range of the given function, we will substitute different values of x.

At, x = -5

y = f(-5) = -(-5 +5)(-5+1) =0

At, x = -4

y = f(-4) = -(-4 + 5)(-4 + 1) = -(1)(-3) = 3

At, x = -2

y = f(-2) = -(-2+5)(-2+1) = -(3)(-1) =3

At, x = -3

y = f(-3) = -(-3 + 5)(-3 + 1) = -(2)(-2) =4

Similarly, we will find for the other values of x.

So, the coordinates are (-5, 0), (-4, 3), (-3, 4), (-2,3)

And the graph using this coordinates are already given. Here, the set of outputs are the values of y.  So we can see that the range of the given function is all real numbers less than or equals  to 4.

Learn more about the range of the function here:

https://brainly.com/question/21027387

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