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Flauer [41]
2 years ago
11

(a) Complete the table of values for y- 2x + 5 - 0 1 2 1 5 Y

Mathematics
1 answer:
maxonik [38]2 years ago
5 0

Answer:

Step-by-step explanation:

I think you meant y = -2x + 5.

x    y = -2x + 5

0                       5

1      -2(1) + 5 =   3

2     -2(2) + 5 =   1

Note that every time you increase x by 1, y decreases by 2.

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Answer:

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Step-by-step explanation:

<u>Remember:</u>

The average rate of change of a function over an interval [a,b] is \frac{f(b)-f(a)}{b-a}

<u>Given:</u>

[a,b]=[1,7]

f(b)=f(7)

f(a)=f(1)

<u>Calculation:</u>

f(b)=f(7)=-(7)^2+5(7)+14=-49+35+14=-49+49=0

f(a)=f(1)=-(1)^2+5(1)+14=-1+5+14=4+14=18

\frac{f(b)-f(a)}{b-a}=\frac{0-18}{7-1}=\frac{-18}{6}=-3

Therefore, the average rate of change of the function g(x)=-x^2+5x+14 over the interval 1\leq x\leq7 is -3.

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