Question

select the correct answer.
what is the range of the function graphed above?
options:

• $-infty < y < infty$
• $-\frac{3}{2} leq y < infty$
• ${2}$
• $-infty < y leq 2$

Explanation:

Step1: Identify function type

The graph is a non-horizontal straight line (linear function with a non-zero slope).

Step2: Determine range of linear function

For a non-constant linear function, the output values (y-values) extend infinitely in both positive and negative directions.

Answer:

$\boldsymbol{-\infty < y < \infty}$