Math Problem Statement

Question content area top Part 1 Use the graph to find the following. -6 6 12 4 8 -4 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 10 in increments of 1. A horizontal ray starts at point (0, 8) and extends to the left. A curve falls from left to right starting at the point (0, 8) and passing through the point (1, 3) to the point (3, negative 1). The curve then rises from left to right passing through the point (5, 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(negative 3​) ​(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?    enter your response here ​(Type your answer in interval​ notation.) Part 2 ​(b) What is the range of​ f?    enter your response here  ​(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 2 and the right​ x-intercept is    enter your response here. Part 4 ​(d) What is the​ y-intercept? The​ y-intercept of the function is    enter your response here. Part 5 ​(e) Over what interval is f​ increasing?    enter your response here  ​(Type your answer in interval​ notation.) Part 6 ​(f) Over what interval is f​ decreasing?    enter your response here ​(Type your answer in interval​ notation.) Part 7 ​(g) Over what interval is f​ constant?    enter your response here  ​(Type your answer in interval​ notation.) Part 8 ​(h) What is the number at which f has a relative​ minimum?    enter your response here Part 9 ​(i) What is the relative minimum of​ f?    enter your response here Part 10 ​(j) What is ​f(negative 3​)? ​f(negative 3​)equals    enter your response here    Part 11 ​(k) What are the​ x-values where ​f(x)equals3​? The leftmost​ x-value where ​f(x)equals3 is when x equals 1. What is the rightmost​ x-value where ​f(x)equals3​? xequals    enter your response here Part 12 ​(l) Is f​ even, odd, or​ neither? even odd neither

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Math Problem Analysis

Mathematical Concepts

Graphing Functions
Domain and Range
Intercepts
Increasing and Decreasing Functions
Relative Extrema
Even and Odd Functions

Formulas

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Theorems

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Suitable Grade Level

Advanced High School