Select the graph of the function and determine whether it is even, odd, or neither.
F(x) = 6x - 5

A) Even
B) Even
C) Odd
D) Neither
E) Odd

Question

Select the graph of the function and determine whether it is even, odd, or neither. ​
F(x) = 6x - 5
​
A)​ Even 
B)​ Even 
C)​ Odd 
D)​ Neither 
E)​ Odd

Quizplus · Accepted Answer

To determine whether a function is even, odd, or neither, we need to check whether the function satisfies the following properties:
- Even function: f(x) = f(-x) for all x in the domain
- Odd function: f(-x) = -f(x) for all x in the domain

In this case, let's check whether the function F(x) = 6x - 5 satisfies either of these properties:

- Even: F(x) = 6x - 5 and F(-x) = 6(-x) - 5 = -6x - 5. These two expressions are not equal unless x = 0. Therefore, F(x) is not even.
- Odd: F(x) = 6x - 5 and -F(x) = -6x + 5. These two expressions are not equal unless x = 1. Therefore, F(x) is not odd.

Since F(x) does not satisfy either of these properties, it is neither even nor odd. Therefore, the correct choice is (D).

Select the Graph of the Function and Determine Whether It