2 years ago

F(x)=(x+1)(x-5) find all the critical points

Mathematics

1 answer:

adoni [48]2 years ago

4 0

I don't know what you mean by "critical points". However, I'm going to list all the important points in this equation-

x intercepts: (-1 ,0) and (5,0)

vertex: (2,-9)

y intercept: (0,-5)

Hope this helps!

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A firm has the marginal-demand function where D(x)=-1400x÷√25-x² is the number of units sold at x dollars per unit. Find the dem

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The equation of the demand function is D(x) = 1400√(25-x²) + 11400

<h3>How to determine the demand function?</h3>

From the question, we have the following parameters that can be used in our computation:

Marginal demand function, D'(x) = -1400x÷√25-x²

Also, we have

D = 17000, when the value of x = 3

To start with, we need to integrate the marginal demand function, D'(x)

So, we have the following representation

D(x) = 1400√(25-x²) + C

Recall that

D = 17000 at x = 3

So, we have

17000 = 1400√(25-3²) + C

Evaluate

17000 = 5600 + C

Solve for C

C = 17000 - 5600

So, we have

C = 11400

Substitute C = 11400 in D(x) = 1400√(25-x²) + C

D(x) = 1400√(25-x²) + 11400

Hence, the function is D(x) = 1400√(25-x²) + 11400

F(x)=(x+1)(x-5) find all the critical points ​

F(x)=(x+1)(x-5) find all the critical points