Which of the following graphs represents a function with a domain of (-∞, ∞) and a range of (-∞, ∞)?

Mathematics

2 answers:

umka21 [38]2 years ago

6 0

The negative infinity for the x coordinate states that the graph should move to the bottom and the y coordinate is positive infinity so that the graph goes up

the first graph is your answer

alex41 [277]2 years ago

6 0

Answer:

option A

Step-by-step explanation:

Domain is the set of all x values and range the set of all y values where the function is defined.

In the first option we have graph on both sides of x. we have graph y for all x values . So, domain is (-∞, ∞)

There is no restriction for y. the graph is for all y values

So range is (-∞, ∞)

In the second option, the graph is above y axis so range is [0,∞)

In the third option, we have graph only for positive value of x

so domain is [0,, ∞)

In the fourth option , the graph is above y axis so range is [0,∞)

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Let's solve this problem step-by-step.

First of all, let's establish that supplementary angles are two angles which add up to 180°.
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Equation No. 1 -
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After reading the problem, we can convert it into an equation as displayed as the following:

Equation No. 2 -
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Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:

Equation No. 1 -
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Then, let's make (x) the subject in the second equation & solve as displayed below:

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After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:

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We are now able to establish that the value of the two angles are as follows:

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133 is greater than 47 as displayed below:

133 > 47

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