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Volgvan
2 years ago
13

What's the domain and range?

Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

The domain and the range of the graph are {-3,-2,0,2,3} and {-6,-5,-2,3,5}, respectively.

<h3>What is the domain and range of a function?</h3>

The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.

The domain of the given graph are the values of the x-coordinate that the function can take. Therefore, the domain of the given graph is,

Domain: {-3, -2, 0, 2, 3}

The range of the given graph are the values of the y-coordinate that the function can take. Therefore, the range of the given graph is,

Range: {-6, -5, -2, 3, 5}

Hence, the domain and the range of the graph are {-3,-2,0,2,3} and {-6,-5,-2,3,5}, respectively.

Learn more about Domain and Range here:

brainly.com/question/1632425

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HELP!!!!
ss7ja [257]
<h3>3 Answers: Choice D, Choice E, Choice F</h3>

============================================================

Explanation:

The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.

Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.

Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.

We can verify this algebraically. For instance, if we weren't sure point E was  a solution or not, we would plug the coordinates into the inequality to get...

6x - 10y ≥ 9

6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)

30 - 20 ≥ 9

10 ≥ 9 ... this is a true statement

Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.

-----------

I'll show an example of something that doesn't work. Let's pick on point A.

We'll plug in (x,y) = (-1,1)

6x - 10y ≥ 9

6(-1) - 10(1) ≥ 9

-6 - 10 ≥ 9

-16 ≥ 9

The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.

3 0
3 years ago
a company that manufactures bicycles has a fixed cost of $80,000. it costs $100 to produce each bicycle. the total cost for the
frez [133]

C(x) = 80000 + 100x is the total cost as function of number of cycles produced

C(90) = 89000 and it costs $ 89000 to produce 90 bicycles

<em><u>Solution:</u></em>

Given that, company that manufactures bicycles has a fixed cost of $80,000

Fixed cost = $ 80,000

Let x be the number of cycles produced

Let C(x) be the total cost as function of number of cycles produced

It costs $100 to produce each bicycle

Variable cost = 100 x number of cycles produced

variable cost = 100x

The total cost for the company is the sum of its fixed cost and variable costs

total cost = fixed cost + variable cost

C(x) = 80000 + 100x

Thus total cost as function of "x" is found

<em><u>Find and interpret C(90)</u></em>

Substitute x = 90 in C(x)

C(90) = 80000 + 100(90)

C(90) = 80000 + 9000

C(90) = 89000

Thus it costs $ 89000 to produce 90 bicycles

3 0
3 years ago
Use the discriminant to determine how many real number solutions exist for the quadratic equations -4j+3j-28=0
aleksandr82 [10.1K]
<span>the correct equation is
- 4j² + 3j - 28 =0

 ax² + bx + c,
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If D ≥ 0 there are either 2 roots or one double if = 0)if D< 0, there are no real roots (but 2 imaginary roots)Since D < 0, then there is no real roots
 The answer there is no real roots</span>
8 0
3 years ago
What is the square root of 2485
olga2289 [7]
<span>49.8497743225 is your answer</span>
8 0
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Solve 4(x + 1) = 4x + 4<br><br> A- No solution<br> B- 0<br> C- All real numbers<br> D- 1
Tcecarenko [31]
The answer is: c- all real numbers
8 0
3 years ago
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