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3 years ago

State domain and range of the following function:

Mathematics

2 answers:

Paladinen [302]3 years ago

8 0

Answer:

The option B is correct, i.e. Domain = {-3, 0, 2, 5} and Range = {-7, -2, 6}.

Step-by-step explanation:

Given are the coordinate points of a function as follows:-

A(-3, -7), B(0, -2), C(2, -7), and D(5, 6).

Domain is the set of x-values input of the function, so Domain = {-3, 0, 2, 5}.

Range is the set of y-values output of the function, so Range = {-7, -2, 6}.

Hence, option B is correct, i.e. Domain = {-3, 0, 2, 5} and Range = {-7, -2, 6}.

zhuklara [117]3 years ago

6 0

Answer: B

Step-by-step explanation:

To find the domain you put each x value in order from least to greatest. Then do the same with the y values to find the range.

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PLEASE HELP ME QUICKLY!!!!

LiRa [457]

For each, you'll use the slope formula
m = (y2-y1)/(x2-x1)

For function f, you'll use the two points (1,6) and (2,12) since x ranges from x = 1 to x = 2 for function f

The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (12-6)/(2-1)
m = 6/1
m = 6

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

For function g, you'll use (2,4) and (3,20)

The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (20-4)/(3-2)
m = 16/1
m = 16

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

For function h, you'll use (0,-6) and (2,-18). The y coordinates can be found by plugging in x = 0 and x = 2 respectively into h(x)

The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (-18-(-6))/(2-0)
m = (-18+6)/(2-0)
m = (-12)/(2)
m = -6

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

The order from left to right is: h, f, g

6 0

3 years ago

tickets to a play cost 5 dollars for adults and 2 dollars for children. if 1750 tickets were sold for a total of 7100 dollars, h

Sever21 [200]

Let x = number of adults tickets sold
then, 1750 - x = number of children tickets sold

We know that the cost for adult tickets is $5 and and children is above calculated so sum total tickets sold cost is $7100.

($5)(x) + ($2)(1750-x) = $7100
5x - 2x + 3500 = 7100
3x = 3600
x = 1200

8 0

4 years ago

Use the row of numbers shown below to generate 12 random numbers between 01 and 99. 11097, 51877, 41665, 78465, 79932, 54899, 72

Nikolay [14]

The suitable numbers are:

11 09 75 18 77 41 66 57 84 65 79 93

Step-by-step explanation:

The random number line is used to generate random numbers between the given range

As the numbers have to be chosen between 01 to 99, two digit pairs will be made.

Every time a pair is chosen, it is checked whether it falls in the range or not. If it falls in the range, it is selected otherwise the number is ignored.

So,

Given random number line is:

11097, 51877, 41665, 78465, 79932, 54899, 72970, 71789

The pairs will be:

11 09 75 18 77 41 66 57 84 65 79 93 25 48 99 72 97 07 17 89

Hence,

The suitable numbers are:

11 09 75 18 77 41 66 57 84 65 79 93

Keywords: Random number line, statistics

Learn more about random number line at:

#LearnwithBrainly

8 0

3 years ago

The graph of y= - 1/2x+2 is positive over the interval (4, infinity) and negative over the interval (-infinity, 4) .What happens

vichka [17]

The graph of y=ax+b, where a≠0, is always a line:

i) increasing if a>0
ii) decreasing if a<0

Consider the decreasing case.

The line is above the x-axis, that is positive but decreasing. At 1 single point it cuts the x-axis, so x=0, and then it continues decreasing below the x-axis.

Back to our problem:

The graph of y=-1/2 x +2 is a decreasing line.,

so it CANNOT be
"positive over the interval (4, infinity) and negative over the interval (-infinity, 4)"

it is

"<span>negative over the interval (4, infinity) and positive over the interval (-infinity, 4)</span>"

the graph is "<span>positive over the interval (-infinity, 4)</span>", it means that the line is decreasing but above the x-axis until 4, (4 not included).

then, "negative over the interval (4, infinity)", which means that the line is now decreasing below the x-axis.

when x=4, the line cuts the x-axis.

check the graph of the line generated using desmos.com

3 0

4 years ago

A marine biologist will collect data regarding the length and weight of each of 50 trout caught and released at five different l

Vesnalui [34]

I think that the best visual representation that the marine biologist would use is utilising a bar graph. A bar graph is composed of bars residing in a coordinate plane. In addition to that, the visual representation would most likely be used since the average weight and length of each trout coming from 5 different locations is compared.

3 0

3 years ago