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 equals​0? 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​}

Solution

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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