Questions: Use the graph to determine (a) intervals on which the function is increasing, if any. (b) intervals on which the function is decreasing, if any. (c) intervals on which the function is constant, if any.

Use the graph to determine (a) intervals on which the function is increasing, if any. (b) intervals on which the function is decreasing, if any. (c) intervals on which the function is constant, if any.
Transcript text: Use the graph to determine (a) intervals on which the function is increasing, if any. (b) intervals on which the function is decreasing, if any. (c) intervals on which the function is constant, if any.
failed

Solution

failed
failed

Solution Steps

Step 1: Identify intervals where the function is increasing
  • The function is increasing where the graph moves upwards as we move from left to right.
  • From the graph, the function increases in the intervals \((-6, -4)\) and \((2, 4)\).
Step 2: Identify intervals where the function is decreasing
  • The function is decreasing where the graph moves downwards as we move from left to right.
  • From the graph, the function decreases in the intervals \((-4, 0)\) and \((4, 6)\).
Step 3: Identify intervals where the function is constant
  • The function is constant where the graph is a horizontal line.
  • From the graph, there are no intervals where the function is constant.

Final Answer

(a) Intervals on which the function is increasing: \((-6, -4)\) and \((2, 4)\)

(b) Intervals on which the function is decreasing: \((-4, 0)\) and \((4, 6)\)

(c) Intervals on which the function is constant: None

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Which of the following pairs of angles are corresponding angles? angle 7 and angle 3 angle 1 and angle 3 Two of these angle 8 and angle 5
failedAnswered
The 2021 General Social Survey contains information on the number of days that in a typical week, respondents eat beef, lamb, or products that contain them by level of education. The data are presented below. Less than high school High school Bachelor's degree Graduate Total ------------------ Mean 3.28 3.19 2.70 2.40 2.97 Standard deviation 2.048 2.036 1.974 1.934 2.032 N 87 677 473 382 1.619 Specify the assumptions required in order to employ ANOVA procedures and conduct an F test.
failedAnswered
Simplify -√400 (Enter ∅ if your answer is not a real number.)
failedAnswered
Find the open intervals on which the function is increasing or decreasing. h(x)=9 sqrt(x) e^(-x) increasing □ decreasing □
failedAnswered
For the equation shown below, solve for y as a function of x and express the result using function notation 32 * x + 4 * y = 16 f(x)= Given f(x)=2 x-2 a) Evaluate f(4)