Section 2.3 Homework

1.  The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. 

The domain of the function f is all the _____ -values of the points on the graph, and the range is all the corresponding ____ values. From the graph of f we see that the domain of f is the interval __________ and the range of f is the interval _______. (Enter your answers using interval notation.)

2.  The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. 

(a) If f is increasing on an interval, then the y-values of the points on the graph _____ as the x-values increase. From the graph of f we see that f is increasing on the intervals 

(b) If f is decreasing on an interval, then the y-values of the points on the graph ____ as the x-values increase. From the graph of f shown above, we see that f is decreasing on the intervals 

3. The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. 

The solutions of the equation f(x) = 0 are the __ -intercepts of the graph of f. The solution of the inequality f(x) ≥ 0 is the set of x-values at which the graph of f is on or above the x -axis.

From the graph of f we find that the solutions of the equation f(x) = 0 are x = ___.  (Enter your answers as a comma-separated list.)

The solution of the inequality f(x) ≥ 0 is ____ . (Enter your answer using interval notation.)