Question

Determine the Domain and Range

Answer 1

Explanation:

domain

all real numbers, because the graph keeps going to the left and to the right

range

y ≥ 1 because the function starts in y = 1 and then keeps going up

Answer 2

For this function, the domain would be:

-∞ < x < ∞

When identifying domain, we go from the left to right on the x-axis. Seeing that there are arrows on both sides, the function is continuous; this can be represented with an infinity sign. If the point that is farthest left is an arrow, it always will be negative because it’s on the left side of the origin.

For this function, the range would be:

1 ≤ y < ∞

When identifying range, we go from the lowest to highest point on the y-axis. Because the lowest point is (2,1), we know that 1 is the lowest range. The highest point would be infinity because there is an arrow represented for it.