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Leviafan [203]
3 years ago
9

A quadratic function models the graph of a parabola. The quadratic functions, and , are modeled in the graphs of the parabolas s

hown below
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0
Make the fuctions times the number
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The graph of F ( x ) = 4/x2 - 2x - 3 is shown <br> for which values of X is f ( x ) decreasing
Elza [17]

Hi there!

\large\boxed{(-\infty, \sqrt[3]{-4}) \text{ and } (0, \infty) }

We can find the values of x for which f(x) is decreasing by finding the derivative of f(x):

f(x) = \frac{4}{x^2} - 2x - 3

Taking the derivative gets:

f'(x) = -\frac{8}{x^3} - 2

Find the values for which f'(x) < 0 (less than 0, so f(x) decreasing):

0 = -8/x³ - 2

2 = -8/x³

2x³ = -8

x³ = -4

x = \sqrt[3]{-4}

Another critical point is also where the graph has an asymptote (undefined), so at x = 0.

Plug in points into the equation for f'(x) on both sides of each x value to find the intervals for which the graph is less than 0:

f'(1) = -8/1 - 2 = -10 < 0

f'(-1) = -8/(-1) - 2 = 6 > 0

f'(-2) = -8/-8 - 2 = -1 < 0

Thus, the values of x are:

(-\infty, \sqrt[3]{-4}) \text{ and } (0, \infty)

6 0
2 years ago
A line drawn from one side of a circular plate to the other, through the center of the plate, measures 25 centimeters.
jarptica [38.1K]

Answer:

39 centimeters

Step-by-step explanation:

to find the area of a circle you first find the radius which is the disctance from the edge of the plate to the center. you then multiply it by pi to find the total area.

3 0
2 years ago
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A table showing pairs of r- and yvalues is shown below.
Crazy boy [7]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
Find the distance between each pair of points whose coordinates are given. Round to the nearest tenth if necessary.​
cestrela7 [59]

Answer:

5.8

Step-by-step explanation:

Y e s .

Using the Distance formula and all.

5 0
3 years ago
What is the value of 32 tens
trapecia [35]
320 has the same value as 32 tens
3 0
3 years ago
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