Math 1314 – Test #2 Review Topics (Ch.3)
10 problems (≈ 8 or 13 pts each)
All problems are short answer/partial credit
Topics:
Given an equation of a parabola, find the vertex, axis of symmetry, y-intercept, x-intercepts,
and draw a graph. (memorize the quadratic formula!)
Know how to get the vertex of a parabola by hand and also using the min/max feature on
your calculator
Solve a word problem involving “maximizing” or “minimizing”.
For a given polynomial, find the zeros, multiplicity, cross/bounce, degree, y-intercept, end
behavior, and sketch a graph.
Divide using long division and write the quotient and remainder.
Divide using synthetic division and write the quotient and remainder.
For a given polynomial, find all zeros (use the rational zeros theorem (±p/q), synthetic
division, write factored form, and solve)
Given the zeros of a polynomial, express the polynomial as a product of linear factors.
For a given rational function, find the domain, vertical asymptote(s), horizontal asymptote,
slant asymptote, and draw a graph (using the table feature of your calculator).
Solve a polynomial or rational inequality. Shade the answer on a number line and write the
solution in interval notation.