Asked by Adnan Za`aqiq on May 12, 2024
Verified
Determine whether the equation y2=10xy ^ { 2 } = 10 xy2=10x represents y as a function of x .
A) a function
B) not a function
Function
A function is a mathematical relation between sets that associates every element of a first set to exactly one element of a second set.
- Differentiate between relationships that embody functions and those that do not.
Verified Answer
SB
shubham bharadwajMay 16, 2024
Final Answer :
B
Explanation :
This equation does not represent y as a function of x because for every value of x, there are two possible values of y (positive and negative square roots of 10x). Therefore, it fails the vertical line test and violates the definition of a function.
Learning Objectives
- Differentiate between relationships that embody functions and those that do not.