Warmup to 4.2--Everyone try these

Warmup to 4.2

Question 1:  Go to www.wolframalpha.com and graph the following function:

f(x) = x^2 (x-2)

Part a: How many x-intercepts are there? What are they?

Part b: Which statement is true about the graph.

a.        The graph increases on the interval (2,∞)

b.      The graph is decreasing on the interval (-∞, 0)

c.       The graph crosses through the point (0,0)

d.      The graph touches at the zero (2,0)

Question 2: Look at the following graph and answer the questions below about the attributes of the graph.

 http://www.wolframalpha.com/input/?i=f%28x%29%3D3x^5-4x^3+%2Bx^2%2Bx-1

 Part a: How many x-intercepts are there? What are they? (hint look under the graph and see if you can  tell)

Part b: Is the graph smooth and continuous? (look in your book to read about what this means)

Part c: How many turning points are there in the graph?  (look in your book to read about what this means.)

Question 3: Go to www.geogebra.org  and try to draw a graph that matches with the following description. Write down the function you found that fits this description.

This graph’s end behavior is negative from both the left and right side. This graph has 3 turning points.  This graph has two x intercepts.

I'll post the answers over the weekend.