Calculus I Diagnostic Quiz September 3, 2002
Name____________________ R. Hammack Score ______
(a) Find all solutions:
(x + 2)(x - 3) = 0
Solutions x = -2 and x = 3.
(b) Find all solutions:
It doesn't factor, so we use the quadratic formula.
(c) Find all solutions:
For this equation to be true, either x=0 or cos(x)=0.
The values of x that make cos(x) equal to 0 are , where k is an integer.
Thus, this equation has infinitely many solutions:
x = 0, and , where k is an integer.
(d) Find all solutions:
Solutions x=0 and x=3
(3) Sketch the graph of
To find the x intercept, set y=0 and solve for x. You get x=6.
To find the y intercept, set x=0 and solve for y. You get y=-3.