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sdas [7]
3 years ago
14

What is the range of the function on the graph?all real numbersO all real numbers less than or equal to -1all real numbers less

than or equal to 3all real numbers less than or equal to 0

Mathematics
2 answers:
Yuki888 [10]3 years ago
8 0

The range of the function f(x) is the set of all values that function f takes.

The domain of the function f(x) is the set of all possible values for x.

From the given graph you can see that the domain is all real numbers, x\in (-\infty,\infty).

The maximal y-value that f takes is 3 at x=-1. For all another x from the domain, y is less than 3.

Thus, the range of the given function is y\in (-\infty,3].

Answer:  y\in (-\infty,3].

olchik [2.2K]3 years ago
8 0

Answer:

All real numbers less than or equal to 3

Step-by-step explanation:

Edge

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5) Find the area of a rectangle<br> with points at (-8,5), (2,5),<br> (2,-3) and (-8,-3).
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Answer:

80 units²

Step-by-step explanation:

Given <u>vertices</u> of a rectangle:

  • A = (-8, 5)
  • B = (2, 5)
  • C = (2, -3)
  • D = (-8, -3)

As points A and D share the <u>same x-coordinate</u>, and points B and C share the <u>same x-coordinate</u>, the difference between the different <u>x-coordinates</u> is the length of the rectangle:

\begin{aligned}\implies \textsf{Length} & = x_B-x_A\\& = 2-(-8)\\& = 2+8\\& = 10\; \sf units\end{aligned}

As points A and B share the <u>same y-coordinate</u>, and points C and D share the <u>same y-coordinate</u>, the difference between the different <u>y-coordinates</u> is the width of the rectangle:

\begin{aligned}\implies \textsf{Width} & = y_A-y_D\\& = 5-(-3)\\& = 5+3\\& = 8\; \sf units\end{aligned}

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\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\&=8 \times 10\\&=80 \sf \; units^2\end{aligned}

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