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PolarNik [594]
3 years ago
15

What is the average rate of change for this quadratic function please help

Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0
Answer: Choice A) 2

---------------------------------------------------
---------------------------------------------------

Explanation:

When x = 0, the value of y is y = -6. You can see this as you draw a vertical line through x = 0. This vertical line is the y axis. The parabola crosses the y axis at -6. This point is the y intercept.

When x = 3, the value of y is y = 0. This is one of the two x intercepts. An x intercept is a location where the graph crosses the x axis.

So we have the two points (0,-6) and (3,0). Let's find the slope of the line through these two points

(x1,y1) = (0,-6)
(x2,y2) = (3,0)

Slope:
m = (y2-y1)/(x2-x1)
m = (0-(-6))/(3-0)
m = (0+6)/(3-0)
m = 6/3
m = 2

The slope of the line through those two point is m = 2. 
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3 years ago
Determine the equation of the inverse of y= ex+3.4
nirvana33 [79]

Answer:

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Algebra Examples

Popular Problems Algebra Find the Inverse y=e^(x+3)-4

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Tap for fewer steps...

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4

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ln

(

e

y

+

3

)

=

ln

(

x

+

4

)

Use logarithm rules to move

y

+

3

out of the exponent.

(

y

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3 0
4 years ago
If f(x) = x (ln x), find f'(x).<br> A. e^(x + 1)<br> B. 1 + ln x<br> C. 1 + e^x<br> D. (ln x)^2 + x
Artyom0805 [142]

Answer:

f'(x)=1+\ln x

Step-by-step explanation:

f'(x) is notation for the first derivative of f(x).

Recall the product rule:

(f\cdot g)'=f'\cdot g+g'\cdot f

Therefore, we have:

\displaystyle \frac{d}{dx}(x\ln x)=\frac{d}{dx}(x)\cdot \ln(x)+\frac{d}{dx}(\ln x)\cdot x

Note that:

\displaystyle \frac{d}{dx}(x)=1,\\\\\frac{d}{dx}(\ln x)=\frac{1}{x}

Simplify:

\displaystyle \frac{d}{dx}(x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x, \\\\\frac{d}{dx}(x\ln x)= \ln x+1=\boxed{1+\ln x}

7 0
3 years ago
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