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kumpel [21]
3 years ago
9

What is the graph of f(x)=x^2-2x+3

Mathematics
1 answer:
Neko [114]3 years ago
7 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=x^{2}-2x+3

This is the equation of a vertical parabola open upwards

The vertex is a minimum

The vertex is the point (1,2)

The y-intercept is the point (0,3)

The function does not have x-intercepts

see the attached figure

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Answer:

Average rate of change: -3

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)

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<u>Calculation:</u>

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\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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