Consider the
function graphed
at right.
Join multiple
intervals with a
union.
A) Give the
interval(s) where
the function is
increasing.
C) Give the
interval(s) where
the function is
constant.
B) Give the
interval(s) where
the function is
decreasing.
D) Give the
domain of the
function using
interval notation.

E) Give the
range of the
function using
interval notation.

help pls!!

For a graphed function, the interval where the function is increasing is characterized by a positive slope, indicating that as the independent variable increases, the corresponding values of the dependent variable also increase. Therefore, the interval where the function is increasing is (6, 8).

Part B

For a graphed function, the interval where the function is decreasing is characterized by a negative slope, indicating that as the independent variable increases, the corresponding values of the dependent variable decrease. Therefore, the intervals where the function is decreasing are (2, 3) ∪ (8, ∞).

Part C

A function is constant when the output (dependent variable) remains the same regardless of changes in the input (independent variable). On a graph, a constant function appears as a horizontal line. Therefore, the intervals where the function is constant are (-∞, 2] ∪ [3, 6].

Part D

The domain of a function is the set of all possible input values (x-values) for which the function is defined. As the graph of the function is a continuous line (with no breaks), then the domain is all real values of x, represented as (-∞, ∞).

Part E

The range of a function is the set of all possible output values (y-values) for which the function is defined. The maximum y-value of the graph is y = 6, and as x approaches ∞, the graph continues indefinitely towards -∞. Therefore, the range of the function is (-∞, 6].