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given a polynomial of degree n find the max and min # of roots - correct
answer -max number of real roots is n
if n is even, the min is 0
if n is odd the min is 1
given f(x) determine the roots - correct answer -set f(x)=0 and factor
f(x). set each factor to zero and solve.
find the inverse f^-1 of y = f(x) - correct answer -interchange x and y and
solve for y
given the graph of f(x), determine if the inverse is a function - correct
answer -apply the horizontal line test on f(x)
, solve an inequality in the form a< f(x) <b - correct answer -a < f(x) and
f(x)< b
solve an absolute value equation in the form of |f(x)| = a - correct
answer -f(x)=a and -f(x)=a
solve a system ex.
ax+by=c
dx+ey=f - correct answer -1. substitution- solve for one variable and
plug into the other equation
2. elimination- multiply both equations by numbers that allow you to
add the numbers and one variable cancels
solve a system of inequalities graphically - correct answer -graph each
inequality shading the solution regions, the common shaded area is the
solution