Mathematics, 04.11.2019 20:31 sparrgrovekyle

Which intervals show f(x) increasing? check all that apply.

a: [–2.5, –1.6)
b: [–2, –1]
c: (–1.6, 0]
d: [0, 0.8)
d: (0.8, 2)

there are multiple answers.

Which intervals show f(x) increasing? check all that apply.a: [–2.5, –1.6)b: [–

Answers: 2

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Answer from: gameranonymous266

option C and option D the function f(x) is increasing.

Step-by-step explanation:

" A graph is said to be increasing in an interval if it's value keeps on increasing in that particular interval ".

By looking at the graph attached in the question we could clearly see that the function f(x) is increasing in the interval (-1.6,0] and [0,0.8).

and in all the rest options asked in the question the function f(x) is decreasing.

Hence, for option C and option D the function f(x) is increasing.

Answer from: landonp101

For this case what you should do is take into account the average rate of change.

By definition we have the average rate of change is:

$AVR = \frac{f(x2)-f(x1)}{x2-x1}$

Therefore, the function is growing for the intervals where it is fulfilled:

AVR 0

These growth intervals are given by:

(-1.6, 0]

[0, 0.8)

The intervals that show f (x) increasing are:

(-1.6, 0]

[0, 0.8)

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

Answer from: Quest

answer: x = 3 + √11 and x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

x = 3 ± √11

x = 3 + √11 and x = 3 - √11

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Which intervals show f(x) increasing? check all that apply.

a: [–2.5, –1.6)
b: [–...

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