Find domain and range with full steps in copy. Then i will mark brainest.

Problem 1

Domain = {3, -3, 7, -8}

Range = {7, -2, -5}

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The domain is the set of possible x inputs, while the range is the set of possible y outputs. Toss out any duplicates.

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Problem 2

Domain in words = set of all real numbers

Domain in set builder notation =

Domain in interval notation =

Range in words = set of real numbers equal to -4 or greater

Range in set builder notation =

Range in interval notation =

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I recommend graphing out y = 3x^2-4 to see a parabola in which we can plug in any x value without restriction. The lowest point on this graph is (0,-4) which tells us the smallest value in the range is -4. There is no largest value in the range.

The square bracket for the interval notation range is to indicate to include -4 as part of the interval. In contrast, a curved parenthesis means to exclude the endpoint.

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Problem 3

Domain in words = set of nonzero real numbers

Domain in set builder notation =

Domain in interval notation =

Range in words = set of nonzero real numbers

Range in set builder notation =

Range in interval notation =

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The domain and range are the same in this case. Basically x can be anything but zero since you cannot divide by zero. We can show that y = 0 is not possible if we were to find the inverse of y = 2/x getting x = 2/y, so we see that y = 0 would lead to another division by zero error. These domain and range restrictions lead to the vertical and horizontal asymptotes.

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Problem 4

Domain in words = set of real numbers equal to 3 or greater

Domain in set builder notation =

Domain in interval notation =

Range in words = set of all real numbers

Range in set builder notation =

Range in interval notation =

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The graph shows the left most point being (3,0). So x = 3 is the smallest x value allowed. There is no max x value assuming the graph continues on forever to the right.

Meanwhile, the range is any possible y value because the graph goes on forever up and down.

Step-by-step explanation:

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !