Math Problem Statement

Use the graph to find the following. -6 6 12 6 12 18 24 -6 x y

A coordinate system has a horizontal x-axis labeled from negative 6 to 12 in increments of 1 and a vertical y-axis labeled from negative 6 to 26 in increments of 1. A horizontal ray starts at point (0, 24) and extends to the left. A curve falls from left to right starting at the point (0, 24) and passing through the point (3, 3) to the point (5, negative 1). The curve then rises from left to right passing through the point (7, 3). ​(a) the domain of f ​(b) the range of f   ​(c) the​ x-intercepts ​(d) the​ y-intercept ​(e) intervals on which f is increasing ​(f) intervals on which f is decreasing ​(g) intervals on which f is constant ​(h) the number at which f has a relative minimum ​(i) the relative minimum of f    ​(j) ​f(0​) ​(k) The values of x for which ​f(x)equals3 ​(l) Is f​ even, odd or​ neither? Question content area bottom Part 1 ​(a) What is the domain of​ f?    left parenthesis negative infinity comma infinity right parenthesis ​(Type your answer in interval​ notation.) Part 2 ​(b) What is the range of​ f?    left bracket negative 1 comma infinity right parenthesis  ​(Type your answer in interval​ notation.) Part 3 ​(c) What are the​ x-intercepts of the​ function? The left​ x-intercept of the function is 4 and the right​ x-intercept is    6. Part 4 ​(d) What is the​ y-intercept? The​ y-intercept of the function is    24. Part 5 ​(e) Over what interval is f​ increasing?    enter your response here  ​(Type your answer in interval​ notation.)

Solution

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Analysis
Intercepts
Domain and Range
Increasing/Decreasing Intervals
Symmetry in Functions

Formulas

Domain and range notation
Slope of a function for increasing/decreasing intervals

Theorems

Relative Minimum
Even and Odd Functions

Suitable Grade Level

Grades 9-12