Quiz 2

Justify all answers with neat and organized work. Clearly indicate your answers. 20 points possible.

1. (4 pts.) Take home Maple Lab 2 (Rewriting Polynomials in Powers of (x-p)) and Maple Lab 3 (Tangents to Polynomials at an Arbitrary Point p).

2. (1 pt.) Determine whether the curve is a graph of a function of x.

Figure

3. (3 pts.) Express the function in the form f°g. (In other words, write down f(x) and g(x) so that f°g=F.)

F(x)=(x-5)9

4. (4 pts.) Evaluate the limit symbolically (algebraically), showing all significant algebraic steps.

lim x®3  x2+x-12 x2-5x+6

5. (4 pts.) Evaluate the limit symbolically (algebraically), showing all significant algebraic steps.

lim h®0  (7+h)-1-7-1 h

6. (1 pt.) Draw, in standard position, the angle whose measure is given.

- 3p 4 rad

7. (3 pts.) Recall that for polynomial functions f(x)=a+bx+cx²+dx³ of degree 3 or less, the formula for the slope of the tangent to the graph at the point where x=p is given by

m=b+2cp+3dp2.

For the following polynomial, find the equation of the tangent to the graph at the point where x=p=-1.

y=x2(2x+5)+7