All categories

2 years ago

When is the function increasing?

Mathematics

2 answers:

joja [24]2 years ago

3 0

Answer:

salamat sa point

Step-by-step explanation:

heeee sorry patawad

arlik [135]2 years ago

3 0

Answer:

Step-by-step explanation:

First we need to figure out what it means when we say a function is increasing.

Here is a small tip:

As x goes up, the y will go up as well.

In this case, we say the function is increasing.

From the graph we see that the function is increasing from -3 to 3.

so the interval will be [-3, 3]

In this part, when x goes up, y goes up as well.

You might be interested in

8. What is the domain of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D%20%2B20x%2B75%7D" id="TexFormula1" title

antiseptic1488 [7]

Answer:

8. Domain: (-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

9. Domain: [7/13, ∞)

Range: [1, ∞)

Step-by-step explanation:

Question 8

Given rational function:

$f(x)=\dfrac{x}{x^2+20x+75}$

Factor the denominator of the given rational function:

$\implies x^2+20x+75$

$\implies x^2+5x+15x+75$

$\implies x(x+5)+15(x+5)$

$\implies (x+15)(x+5)$

Therefore:

$f(x)=\dfrac{x}{(x+15)(x+5)}$

Asymptote: a line that the curve gets infinitely close to, but never touches.

The function is undefined when the denominator equals zero:

$x+15=0 \implies x=-15$

$x+5=0 \implies x=-5$

Therefore, there are vertical asymptotes at x = -15 and x = -5.

Domain: set of all possible input values (x-values)

Therefore, the domain of the given rational function is:

(-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

---------------------------------------------------------------------------------

Question 9

Given function:

$f(x)=\sqrt{13x-7}+1$

Domain: set of all possible input values (x-values)

As the square root of a negative number is undefined:

$\implies 13x-7\geq 0$

$\implies 13x\geq 7$

$\implies x\geq \dfrac{7}{13}$

Therefore, the domain of the given function is:

$\left[\dfrac{7}{13},\infty\right)$

Range: set of all possible output values (y-values)

$\textsf{As }\:\sqrt{13x-7}\geq 0$

$\implies \sqrt{13x-7}+1\geq 1$

Therefore, the range of the given function is:

[1, ∞)

8 0

2 years ago

On October 2, 1991 , the Japanese yen was worth .0075 united States . At that time how much was 450 yen worth in united States d

lesya [120]

In order to find out how much 450 yen was worth in U.S dollars, all you have to do is multiply 0.0075 by 450.

0.0075 * 450 = 3.375

Meaning that 450 yen at the time was worth approximately $3.40 when rounded.

8 0

3 years ago

Give the digits in the tens place and the hundredths place. 59.78 tens: hundredths:

Roman55 [17]

Tens: 59

Hundredths: 78

Please give brainliest

4 0

1 year ago

Sean has some candy bars that he wants to give away. He is going to give each person 1/18 of a bar, and he has 2 3/4 to give awa

julsineya [31]

Answer:

49 people

Step-by-step explanation:

Take the amount of candy and divide by the amount in a serving

2 3/4 ÷ 1/18

Change to an improper fraction

(4*2+3)/4 ÷ 1 /18

11/4 ÷ 1/18

Copy dot flip

11/4 * 18/1

198/4

49.5

Round down since people do not want half a serving

49 people

8 0

3 years ago

Commemorative coins come in packs of 15, while coin holders come in packs of 25. What are the least numbers of packs you shoul

Elis [28]

Answer:

5 Commemorative coin packs

3 coin holders

Step-by-step explanation:

5 0

3 years ago