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Alborosie
2 years ago
10

Determine the DOMAIN and RANGE from the graph

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
8 0

Given:

The graph of a function.

To find:

The domain and range of the function.

Solution:

We have, the graph of a function and we need to find the domain and range of the function.

We know that, domain is the set of input values (x-values) and range is the set of output values (y-values).

From the given graph it is clear that function is defined for all values of x except x=0 because as x tends to 0 the function tends to negative or positive infinite. So, domain can be any real number except 0.

Domain=R-\{0\}

Domain=(-\infty,0)\cup (0,\infty)

From the given graph it is clear that the value of function can be any real number except y=0. So, range can be any real number except 0.

Range=R-\{0\}

Range=(-\infty,0)\cup (0,\infty)

Therefore, the correct option is B.

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Alika [10]

Answer:

y = -x - 7

Step-by-step explanation:

As we move from the point (3, -4) to the point (5, -6), x increases by 2 and y decreases by 2.  Thus, the slope of this line is m = rise / run = -2/2, or -1.

Starting with the general slope-intercept form of the equation of a straight line, we get y = mx + b => y = -1x + b.

Subbing -4 for y and 3 for x, we get

-4 = -1(3) + b, which yields b = -1

Thus, the desired equation is

y = -x - 1

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3 years ago
The sum of two numbers is 84. The difference of the two numbers is 32. What are the two numbers.
eimsori [14]

Answer:

The sum of two numbers is 84:

u + y = 84

The difference of the two numbers is 32:

u - y = 32

7 0
2 years ago
Read 2 more answers
Find the slope of the line containing the given points
Luden [163]

Answer:

-9/8

Step-by-step explanation:

The two points given are

(1,6) and (9,-3)

The slope is given by

m = (y2-y1)/(x2-x1)

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8 0
2 years ago
20 square root of 270 /4 square root of 3
OleMash [197]

Answer:

<u>The most simplified form is 15√10</u>

Step-by-step explanation:

1. Let's simplify the expression:

20√270 ÷ 4√3

20√9 * 30/  4√3 (√270 = √9 * 30)

60 √30/ 4√3

(60 √3 * √10) / 4√3 (√30 = √3 * √10)

60/4 √10 ( We cancel √3 in the numerator and in the denominator)

15√10

<u>The most simplified form is 15√10</u>

6 0
3 years ago
Find the total surface area of this square based
MrRissso [65]

Answer:

300ft^2

Step-by-step explanation:

Total surface area = Area of base + (1/2) x perimeter of base x slant height

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100 + (1/2) x 40 x 10 = 300 ft^2

7 0
2 years ago
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