Question Video: Representing a Given Function in a Table | Nagwa Question Video: Representing a Given Function in a Table | Nagwa

# Question Video: Representing a Given Function in a Table Mathematics

Which of the following is a table of values for the function π¦ = 7π₯ β 3? [A] Table a [B] Table b [C] Table c [D] Table d [E] Table e.

02:49

### Video Transcript

Which of the following is a table of values for the function π¦ equals seven π₯ minus three?

Our function is π¦ equals seven π₯ minus three. And all of the tables have π₯ values of zero, one, two, and three. We have to find the π¦-values for each of these π₯-values. And we do that by taking the π₯-values from the table and plugging them into the equation.

Here weβve substituted zero for π₯. Seven times zero equals zero. Zero minus three equals negative three. When our π₯-value is zero, the π¦-value is negative three. Weβre going to repeat the same process, substituting a one for our π₯. Seven times one equals seven. Bring down the minus three. Seven minus three is four. And that means when π₯ equals one, π¦ equals four.

And now weβll substitute the two for our π₯-value. Seven times two equals 14. 14 minus three equals 11. Whenever π₯ is two, π¦ will be equal to 11. And now our final π₯-value, π₯ equals three. We now have π₯ times three minus three. Seven times three equals 21. 21 minus three equals 18. When π₯ equals three, π¦ equals 18.

We need to look for the table whose corresponding π₯- and π¦-values look like the numbers we found. Table a has a wrong value for π₯ equals two. Table c has a wrong value for π₯ equals one. Table d has a wrong value where π₯ equals zero. And table e has a wrong value for π₯ equal three. Only table b has correct corresponding π₯- and π¦-values for the function π¦ equals seven π₯ minus three.

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