Question

use the graph to find the following. (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(-6) (k) the values of x for which f(x)=3 (l) is f even, odd or neither? (a) what is the domain of f? (-∞,∞) (type your answer in interval notation.) (b) what is the range of f? -1,∞) (type your answer in interval notation.) (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. (d) what is the y - intercept? the y - intercept of the function is 24. (e) over what interval is f increasing? (5,∞) (type your answer in interval notation.) (f) over what interval is f decreasing? (type your answer in interval notation.)

Explanation:

Step1: Analyze the graph for decreasing intervals

A function \(y = f(x)\) is decreasing when as \(x\) increases, \(y\) decreases. Looking at the graph, we observe the behavior of the function.

Step2: Determine the interval

From the graph, we can see that the function is decreasing for \(x\in(-\infty,5)\)

Answer:

\((-\infty,5)\)