All categories

2 years ago

State the open intervals over which the function is (a) increasing, (b) decreasing or (c) constant

Mathematics

1 answer:

ipn [44]2 years ago

3 0

Answer:

a. [-3, 4]

b. (-inf, -3]

c. [4, inf)

Step-by-step explanation:

Our intervals will represent the x-values

We know that since there's an arrow pointing to the left of the line that it goes on infinitely

Same thing when the arrow is going to the right

Then we can just looking at the x-values on the graph for the intervals where it starts and stops

Hope this helps

Best of luck

You might be interested in

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

Please help on problem 14! Thanks!!

pickupchik [31]

2 hours has more the the other so I would say it would be 8

4 0

3 years ago

Which unit would you most likely use to represent the time it takes to drive to your friend's house, which is five miles from yo

Leokris [45]

Answer:

C. minutes

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Find the balance on a deposit of $455 that earns 4% interest compounded annually for 2 years. $36.40 $491.40 $492.13 $819

STatiana [176]

$A=P(1+ \frac{r}{n})^{tn}$
A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years

given
P=455
r=4%=0.04
n=1
t=2

$A=455(1+ \frac{0.04}{1})^{(2)(1)}$
$A=455(1+ 0.04)^{2}$
$A=455(1.04)^{2}$
A=492.128
round
$492.13
3rd option

5 0

3 years ago

Read 2 more answers

Y > 4x + 3<br><br> y < -2x - 9

Zielflug [23.3K]

Answer:

x > 2

Step-by-step explanation:

y < 4x +3

y > -2x - 9

-2x -9 < 4x +3

-6x < -12

IN CASES WHERE YOU DIVIDE A NEGATIVE NUMBER,DON'T FORGET TO CHANGE THE SIGN !!!

x > 2

4 0

3 years ago