Question

Which graph represents the function?

f(x)={3ifx<1xifx≥1

Answer 1

The answer is The graph on the bottom right

good luck!

Answer 2

Answer: The graph in the bottom right corner.

Explanation:

We have the function:

f(x) = 3 if x < 1.

f(x) = x if x ≥ 1

First, let's analyze each part of the function:

f(x) = 3 if x < 1.

We have a constant line y = 3, such that it ends at the point x = 1 with an open dot (or white dot) (because here we have the symbol <)

f(x) = x if x ≥ 1

From x = 1 and on, we have the line y = x, such that in the point x = 1 we will have a closed dot (or black dot) that means that the point does belong to the graph.

when x = 1, we have:

f(1) = 1

Then we will have the closed dot at the point (1, 1)

Then the correct option is the one in the bottom right.