Determine whether the data in the following table represent a constant function
We have hundreds of course questions with personalized recommendations + Account 100% premium
Determine whether the data in the following table represent a constant function
It is important to remember that a constant function describes a situation where as the X value increases, the function value (Y) remains constant.
In the table, we can observe that there is a constant change in X values, meaning an increase of 1, and a non-constant change in Y values - sometimes increasing by 1 and sometimes by 4
Therefore, according to the rule, the table does not describe a function
No
Determine whether the following table represents a constant function:
A constant function means the Y value (output) stays exactly the same no matter what X value (input) you use. Think of it like y = 5 where every point has height 5.
The X values can follow any pattern - what matters is the Y values! Even if X goes 0, 1, 2 perfectly, if Y changes from 3 to 4 to 8, it's not constant.
Look at the Y column only. Are all the numbers identical? If yes = constant function. If any number is different = not constant. It's that simple!
The table would show something like: X values 0, 1, 2 and Y values all the same, like 3, 3, 3 or 5, 5, 5. Every Y must be identical!
Absolutely! The X values can be anything - 0, 1, 2 or even -5, 10, 100. Only the Y values must all be the same for it to be constant.
Get unlimited access to all 18 Functions questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime