in-3-6-each-set-represents-a-function-a-what-is-the-domain-of-each-function-b-what-is-the-range-of-e

Question

In $3-6,$ each set represents a function. a. What is the domain of each function? b. What is the range of each function? c.Is the function one-to-one? 
$$
\{(1,4),(2,7),(3,10),(4,13)\}
$$

Yemi Uthman · Accepted Answer

for part A. We want to find the domain of this function so we&#x27;ll have if the scent is one through four. There multiple sets here. Two through seven, the three through 10 and 43 13. We can look at the X values to find the domain. So the domain it would be 123 and four, or just one through four, and the range will be the Y values. So before 7, 10 and 13 were for through 13. And since each X values only paired with one Y value dysfunction is 1 to 1.

Emma Chickles · Answer

and this problem with Fritz asked to find the domain of this function. To do this, we can look at the first element of each of these ordered pairs. We can see that X could be equal to zero negative one negative too negative, three or negative for So the domain is a set of these five numbers. Similarly, we confined the range by looking at the second element in each of these orders pears. Why could be equals a 3579 or 11. Lastly, we need to determine if this function is 1 to 1. A function is once a one. If no to ordered pairs in the function. Have this share the same second element in this function. No t pairs of the same second element, so this function is 1 to 1.

Emma Chickles · Answer

in this problem where first asked to find the domain of this function. To do this, we look at the first elements of these ordered pairs. We can see that X can either be equal to 024 or six. Now we need to find the range of this function. But we can do this by looking at the second element of thes ordered pairs. So why can be cool to 246 or eight? Lastly, we need to determine if this function is 1 to 1. A function is 1 to 1, if no to order pairs share the saying that second element. Since none of these second elements are the same, dysfunction is 1 to 1.

Yemi Uthman · Answer

for part A. We&#x27;ll see that the sets are to common. Seven. The re comma seven. Four comma seven, five comma seven in six. Common seven. So, in order from the domain, we could look at the X values of each set. Most see that the doorman is too 34 five and six or two through six. And the range each. We can look at each y value and they&#x27;re all the same. So the range is just seven. Therefore, it the function is not 1 to 1 because each X value goes to the same y value. See, they all go to seven. So therefore there it is, not 1 to 1.

Julian Gerber · Answer

So if we have the relation in these brackets here, um, the domain you can define the domain as just the set of all the X coordinates, the first number in each ordered pair. So the set of X coordinates, the domain is five negative, too One and negative. Eight. Similarly, the range is just the set of all y coordinate their all Why values and each of the co ordinates. So we have 13 six for a negative three. Now we know that this relation is a function because each input five negative to one and negative eight only has one output five to negative 5 to 13 negative 2 to 6, 1 to 4 and negative eight to negative three. So it is a function.

Amrita Bhasin · Answer

this question asked us to identify the domain and range of the function. What we know is that we can do a super rough sketch of this to see what it would look like, cause then we can determine the domain and range. We know the Vertex is shifted six upwards. We know it is upward facing, cause it&#x27;s positive and the magnitude of three. Therefore the domain we know is going to be all real numbers because it goes from negative infinity to positive infinity. The range we know is from all the possible positive values of why, after six so equivalent to six and then upwards, for example, five would not be in the range. It&#x27;s six and upward.

Problem

In $3-6,$ each set represents a function. a. What…

Problem 3 Easy Difficulty

In $3-6,$ each set represents a function. a. What is the domain of each function? b. What is the range of each function? c.Is the function one-to-one?
$$
\{(1,4),(2,7),(3,10),(4,13)\}
$$

Answer

Each x-value is paired with only one y-value.
Thus, the function is one-to-one.

Related Courses

Algebra 2 and Trigonometry

Related Topics

Discussion

Top Algebra Educators

Grace H.

Caleb E.

Maria G.

Michael J.

Algebra Courses

Absolute Value - Example 1

Absolute Value - Example 2

Recommended Videos

Watch More Solved Questions in Chapter 4

Video Transcript

Ann Xavier Gantert

Algebra 2 and Trigonometry

Grace H.

Caleb E.

Maria G.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

Each x-value is paired with only one y-value.Thus, the function is one-to-one.

Algebra 2 and Trigonometry

Grace H.

Caleb E.

Maria G.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Grace H.

Caleb E.

Maria G.

Michael J.

Each x-value is paired with only one y-value.
Thus, the function is one-to-one.

Ann Xavier Gantert

Algebra 2 and Trigonometry