All categories

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

#SPJ1

You might be interested in

Two equations for the constant of proportionality equal to 1/2

NemiM [27]

y=kx and y= $\frac{k}{x}$ are two equations of constant of proportionality

Step-by-step explanation:

There are two equations for the constant of proportionality. That is

(i) Direct proportion

(ii) Inverse proportion

In direct proportion y=kx, Now

if x increases, then y also increases and if x decreases, then y also decreases. So, k is a constant proportionality.

In Inverse proportion y= $\frac{k}{x}$ , Now

if x increases then y decreases and if x decreases, then y increases and k is a constant proportionality.

In direct proportion, we put y=1 and x=2, So k= $\frac{1}{2}$ .

So, the equations y=kx and y= $\frac{k}{x}$ are two equations of constant of proportionality.

5 0

2 years ago

after 1 second, the rock is 243 feet in the air; after 2 seconds, it is 452 feet inthe air. find the height, in feet, of the roc

PSYCHO15rus [73]

1 second is 243
2 second is 452
3 second is 661
4 second is 870
5 second is 1,079
It goes up 209 feet per second
5 Second is 1,079 ft in the air.

4 0

2 years ago

HELP PLEASE! I'm not sure what the right answer is.

jasenka [17]

I'm really not sure.
Sorry.

3 0

2 years ago

Hector went shopping for a computer. At RST store, a computer originally prices at $955 had a price reduction of 40%. What was t

balandron [24]

Answer:

$573

Step-by-step explanation:

955* 0.60=573

10% of 955= 95.5

50% of 955=477.5

477.5=95.5=573

4 0

2 years ago

Determine the resulting polynomial: f ( x ) = 7 x + 9 f(x)=7x+9 g ( x ) = − 5 x 2 − 2 x − 8 g(x)=−5x 2 −2x−8 Find: f ( x ) ⋅ g (

S_A_V [24]

:) Brainliest pls?

Answer:

f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72

Step-by-step explanation:

If f(x) = 7x+9 ang g(x) = -5x^2 - 2x - 8, then

f(x) * g(x) will be:

(7x+9)(-5x^2 - 2x -8)

f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72

7 0

3 years ago