2 years ago

Write an equation to represent the function.

Mathematics

1 answer:

leva [86]2 years ago

4 0

Answer:

Step-by-step explain

the answer is c

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2 years ago

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Georgia [21]

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3 years ago

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1/4y =6

kondaur [170]

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Step-by-step explanation:1/4 y=6

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3 years ago

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3 years ago

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If f(x)=x^2+3x+4 which of the number choices represents (f(x+h)-f(x))/h?

Helen [10]

In case you're not already aware, the expression $\frac{f(x+h)-f(x)}h$ is called the "difference quotient" and represents the average rate of change of a function $f$ over an interval $[x,x+h]$ .

For the function $f(x)=x^2+3x+4$ , by substituting $x+h$ we get

$f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2$

Then the difference quotient is

$\dfrac{f(x+h)-f(x)}h=\dfrac{(x^2+3x+4+(2x+3)h+h^2)-(x^2+3x+4)}h$

$=\dfrac{(2x+3)h+h^2}h=2x+3+h$

where the last equality holds as long as $h\neq0$ .

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3 years ago