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Mathematics

1 answer:

Yuki888 [10]2 years ago

5 0

D is the answer 6660
mark me brainiest if i right ty

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Compute the difference quotient, StartFraction f (x plus h )minus f (x )Over h EndFraction f(x+h)−f(x) h, for the function f (

lawyer [7]

Answer:

The difference quotient for $f(x)=3x^2$ is $3 h + 6 x$ .

Step-by-step explanation:

The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by

$\frac{f(x+h)-f(x)}{h}$

So, for the function $f(x)=3x^2$ the difference quotient is:

To find $f(x+h)$ , plug $x+h$ instead of $x$

$f\left(x+h\right)=3 \left(h + x\right)^{2}$

Finally,

$\frac{f\left(x+h\right)-f\left(x\right)}{h}=\frac{\left(3 \left(h + x\right)^{2}\right)-\left(3 x^{2}\right)}{h}$

$\frac{3\left(\left(h+x\right)^2-x^2\right)}{h} \\\\\frac{3(h^2+2hx+x^2-x^2)}{h} \\\\\frac{3h\left(h+2x\right)}{h}\\\\3h+6x$

The difference quotient for $f(x)=3x^2$ is $3 h + 6 x$ .

4 0

2 years ago

How do you write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1,1)

harkovskaia [24]

First you have to put it into point-slope form before you can write it in slope-intercept form which is y-y1=m(x-x1)

Y-1=2(x-1)
Distribute the 2 to the x and -1
Y-1=2x-2
Move it all to one side
Y=2x-1

7 0

2 years ago

Read 2 more answers

Please help! Write the intervals of the values shown on the graph below

Veseljchak [2.6K]

The answer is
-1 ≤ x < 3
We just learned this is in my algebra 2 AP class

5 0

2 years ago

For brainiest:):):):):):):)

GrogVix [38]

1) 1/6
2) 1/3
3) 1/2
4) 1/6
5)1/3
6) 1/3

If its wrong , sry..

7 0