Math Problem Statement
Sketch a function that is continuous on left parenthesis negative infinity comma infinity right parenthesis and has the following properties. Use a number line to summarize information about the function. f prime left parenthesis x right parenthesisless than0 on left parenthesis negative infinity comma negative 2 right parenthesis; f prime left parenthesis x right parenthesisgreater than0 on left parenthesis negative 2 comma 3 right parenthesis; f prime left parenthesis x right parenthesisless than0 on left parenthesis 3 comma infinity right parenthesis. Question content area bottom Part 1 Which of the following graphs matches the description of the given properties? A. -10 10 -20 20 x y
A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 5 and vertical y-axis from negative 20 to 20 in increments of 5. From left to right, a smooth curve falls, crossing the x-axis at negative 2, to a minimum, and rises, crossing the x-axis at 3. B. -10 10 -20 20 x y
A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 5 and vertical y-axis from negative 20 to 20 in increments of 5. From left to right, a smooth curve rises, crossing the x-axis at negative 2, to a maximum, and falls, crossing the x-axis at 3. C. -10 10 -20 20 x y
A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 5 and vertical y-axis from negative 20 to 20 in increments of 5. From left to right, a smooth curve falls to a minimum at x = negative 2, rises to a maximum at x = 3, and falls. D. -10 10 -20 20 x y
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
First Derivative Test
Graph Analysis
Formulas
f'(x) < 0 for decreasing intervals
f'(x) > 0 for increasing intervals
Theorems
First Derivative Test for Local Extrema
Suitable Grade Level
Grades 11-12
Related Recommendation
Identifying Relative Maxima and Minima and Intervals of Increase and Decrease
Analyzing Increasing/Decreasing Intervals and Local Extrema of a Function
Analyzing Intervals of Increase and Decrease from a Function Graph
Finding Local Maxima and Minima and Analyzing Function Behavior
Determine Increasing/Decreasing Intervals and Extrema from a Graph