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professor190 [17]
3 years ago
6

Determine the range of the function graphed below. Answer choices are below as well

Mathematics
1 answer:
Softa [21]3 years ago
5 0

Answer:

The range of the function will be (- ∞, 4].

Step-by-step explanation:

See the graph attached.

Here we have to get the range of the graphed function.

The value of y in the graphed function varies in the range of less than or equal to 4.

Because the graph of the function does not move beyond 4 towards +∞.

Therefore, the range of the function will be (- ∞, 4]. (Answer)

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4. Two points on a line are (-10, 1) and (5, -5). If
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Answer:

The x-coordinate of another point is zero

Step-by-step explanation:

step 1

Find the slope between the two given points

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m=\frac{y2-y1}{x2-x1}

we have

(-10,1),(5,-5)

substitute in the formula

m=\frac{-5-1}{5+10}

m=\frac{-6}{15}

Simplify

m=-\frac{2}{5}

step 2

Find the x-coordinate of another point

we have

(x,-3)

we know that

If the other point is on the line, then the slope between the other point and any of the other two points must be the same

so

Find the slope between the points

(x,-3),(5,-5)

Remember that

m=-\frac{2}{5}

substitute in the formula

-\frac{2}{5}=\frac{-5+3}{5-x}

-\frac{2}{5}=-\frac{2}{5-x}

the denominators must be the same

5=5-x

x=0

therefore

The x-coordinate of another point is zero

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