Question

Determine whether each of the following are functions :

Answer 1

a and b are and C is not. b is called an exponential function and a is another function that I forgot the name of.

Answer 2

• Functions - a and c
• Non- function - b

Explanation:

This is verified with a vertical line test.

If a graph of a function is intersected by a vertical line at more than one point, it is not a function. This comes from the definition of a function.

We can see that the graphs a and c pass the vertical line test but the graph b fails, since at any positive x, the vertical line has two - y coordinates per each x- coordinate.