Questions: Find the open intervals where the function graphed below is a) increasing, or b) decreasing.
a) List the open interval(s) on which the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function is increasing on the interval(s)
(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The function is never increasing.
Transcript text: Find the open intervals where the function graphed below is a ) increasing, or b) decreasing.
a) List the open interval(s) on which the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function is increasing on the interval(s) $\square$
(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The function is never increasing.
Solution
Solution Steps
Step 1: Identify increasing intervals
An increasing interval on a graph is where the function's y-value rises as the x-value increases (reading the graph from left to right).
Step 2: Locate the increasing intervals on the graph
Observing the provided graph, we see the function increases from x = 4 to x = 6, and again from x = 8 to positive infinity.
Step 3: Express the intervals in interval notation
The increasing intervals are (4, 6) and (8, ∞).
Final Answer
A. The function is increasing on the interval(s) (4,6),(8,∞)