Merced College; Don Power

 

 

 

MATH 2--STUDY GUIDE 3

 

3.1  Could the following represent functions?  If so, give the domains and the ranges:


            a.  (Exercise 1)

Input

−2

0

3

1

−5

Output

2

3

−2.5

2

14

 

            b.         Exercise 15:  3x + 2y = 12

 

            c.         Exercise 13:  y2 = 4x + 1

                        Could y be a function of x?

                        Could x be a function of y?

 

3.2.  If g(x) = x2+5x, find and simplify

 

3.3, 3.4.  Sketch the graph of  and label on your graph the vertex, x-intercepts, and y-intercept with their coordinates.

 

 

3.3, 3.4.  Sketch the graph of  and label on your graph the x-intercept and y-intercept.  From your graph, estimate the coordinates of the x-intercept and y-intercept (to the nearest tenth).

 

 

3.4.  Question on transformations:  See the problems given above for lessons 3.3, 3.4

 

 

3.4A.  Questions on symmetry and/or even or odd functions:

            Is an even function symmetric about the x-axis, the y-axis, or the origin?

            Is an odd function symmetric about the x-axis, the y-axis, or the origin?

            For an even function, if you replace x by −x, what happens to the value of y?

            For an odd function, if you replace x by −x, what happens to the value of y?

            Are the following functions even, odd, or neither?  Explain why.

                        a.         y = x4 + x − 1

                        b.         y = x3 − 7x

                        c.         y = (x2 +1) / x4

                        d.         y = abs(x)

                        e.         y = sqrt(x)

 

3.5.  Given that f(x)=3-x  and  g(x)=x2-5x, find and simplify  .

 

 

 

Return to:  Merced College; Don Power               Updated 10/06/05 by Don Power