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sukhopar [10]
2 years ago
14

What is the range of the relation graphed below?

Mathematics
1 answer:
Paladinen [302]2 years ago
3 0

Answer:

a

Step-by-step explanation:

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What is the domain and range of the graph below in interval notation? If union is needed, use Capital U. If infinity is needed u
elena55 [62]

Answer:

DOMAIN: (-\infty,1]\cup(2,\infty)

RANGE: (-\infty,\infty)

Step-by-step explanation:

The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.

DOMAIN:

From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.

However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.

So, our domain is all values greater than or less than 1, and all values greater than 2.

In interval notation, this is:

(-\infty,1]\cup(2,\infty)

We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.

RANGE:

Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.

Our range is all real numbers.

In interval notation, this is:

(-\infty,\infty)

5 0
3 years ago
Write the sentence as an inequality. A number t multiplied by -4 is at least −2/5
OleMash [197]

Answer:

We conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:

  • -4t ≥ -2/5

Step-by-step explanation:

Given

A number t multiplied by -4 is at least −2/5

To determine

Write the sentence as an inequality.

For the inequalities, when we mention 'at least', we can term it as 'greater than or equal to' symbol such as '≥'.

It is stated that A number t multiplied by -4 is at least −2/5.

Let 't' be the number.

Multiplying t by -4 is: -4t

Thus,  A number t multiplied by -4 is at least −2/5 will be written as:

-4t ≥ -2/5

Therefore, we conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:

  • -4t ≥ -2/5
7 0
3 years ago
Write a function g whose graph represents a reflection in the y-axis followed by a translation 3 units to the right of the graph
svp [43]

Answer:

g(x)  = |x - 3|

Step-by-step explanation:

Given

f(x) = |x|

Required

Translate 3 units right

The result of a right translated function is:

g(x) = f(x - h)

<em>Where h is the unit of translation</em>

<em></em>h = 3<em></em>

<em></em>

<em></em>g(x) = f(x - 3)<em></em>

Solve for f(x - 3)

f(x) = |x|

f(x - 3) = |x - 3|

Hence;

g(x)  = |x - 3|

6 0
2 years ago
The population of a city is 578,992. The land area of the city is 67.2 mi².
Inessa05 [86]
Sorry man I don't know if im write but try 28.78
5 0
3 years ago
Read 2 more answers
What is 1/3 of 2/3?​
Alla [95]
1/3 of 2/3

Just multiply them

1/3 x 2/3 = 2/9

5 0
3 years ago
Read 2 more answers
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