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1 year ago

Consider the inverse function. which conclusions can be drawn about f(x) = x2 2? select three options.

Mathematics

1 answer:

Elodia [21]1 year ago

5 0

The function has a y-intercept at (0, 2). Then the correct options are A, B, and E.

The complete question is attached below.

<h3>What is the maximum and minimum value of the function?</h3>

The condition for the maximum will be

f"(x) < 0

The condition for the minimum will be

f"(x) > 0

Consider the inverse function.

f⁻¹(x) = -√(x - 2)

Then the conclusion of the function f(x) = x² + 2 will be

Differentiate the function, then we have

f ' (x) = 2x

Again differentiate, then we have

f" (x) = 2

f" (x) > 0

Then the function has a minimum value at (0, 2)

The function has a y-intercept at (0, 2)

Then the correct options are A, B, and E.

More about the maximum and minimum value of the function link is given below.

brainly.com/question/13581879

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-4 is greater than -5

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The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 20

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Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400

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3 years ago

Sofia has 12 cups of yogurt to make smoothies. Each smoothie uses a cup of

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Answer:

Step-by-step explanation:

If she has 12 cups of yogurt and each cup only uses 1 cup then she can make 12 smoothies

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Which inequality describes this graph?

ZanzabumX [31]

The inequality that describes this graph of the number line is x ≥ 4

<h3>How to determine the inequality that describes this graph?</h3>

From the question, we have the following properties:

The graph is a number line
The number line extends at both ends
The number line starts from less than -5 and ends at greater than 5
There is a heavy arrow that extends from a circle over positive 4 to the right.

The property 3 above implies that the domain of the number line is the set of all real numbers.

The property 4 above implies that the inequality of the number line is a greater than or equal to inequality, and the value starts from 4

This is represented by the following inequality

x ≥ 4

Hence, the inequality that describes this graph of the number line is x ≥ 4