Math Problem Statement
Use the graph of f to determine each of the following. (a) the domain of f (b) the range of f (c) the zeros of f (d) f left parenthesis negative 1 right parenthesis (e) the intervals on which f is increasing (f) the intervals on which f is decreasing (g) the values for which f(x)less than or equals0 (h) any relative maxima or minima (i) the value(s) of x for which f left parenthesis x right parenthesis equals 4 (j) Is f left parenthesis 4 right parenthesis positive or negative? -8 -6 -4 -2 2 4 6 8 10 -6 -4 -2 2 4 6 x y
A coordinate system has a horizontal x-axis labeled from negative 8 to 10 in increments of 1 and a vertical y-axis labeled from negative 6 to 6 in increments of 1. Upper A curve rises from left to right passing through the points left parenthesis negative 1.5 comma 0 right parenthesis and left parenthesis negative 1 comma 1 right parenthesis comma is horizontal when passing through the point left parenthesis 2 comma 4 right parenthesis comma and falls from left to right ending at a solid circle at left parenthesis 5.5 comma 0 right parenthesis . Question content area bottom Part 1 (a) The domain of f is left parenthesis negative infinity comma 5.5 right bracket. (Type your answer in interval notation.) Part 2 (b) The range of f is left parenthesis negative infinity comma 4 right bracket (Type your answer in interval notation.) Part 3 (c) The left zero of the function is negative 1.5 and the right zero is 5.5. Part 4 (d) f left parenthesis negative 1 right parenthesis equals 1 Part 5 (e) The interval on which f is increasing is left parenthesis negative infinity comma 2 right parenthesis. (Type your answer in interval notation.) Part 6 (f) The interval on which f is decreasing is left parenthesis 2 comma 5.5 right parenthesis. (Type your answer in interval notation.) Part 7 (g) Which interval or union of intervals represents the values for which f(x)less than or equals0? Select the correct choice below and fill in the answer boxes to complete your choice. A. ( enter your response here, enter your response here) B. ( enter your response here, enter your response here)union[ enter your response here, enter your response here) C. ( enter your response here, enter your response here] D. ( enter your response here, enter your response here)union{ enter your response here} E. ( enter your response here, enter your response here]union[ enter your response here, enter your response here) F. ( enter your response here, enter your response here]union{ enter your response here}
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Math Problem Analysis
Mathematical Concepts
Graphing Functions
Function Analysis
Calculus (Increasing/Decreasing Functions)
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12
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