Questions With Complete Solutions
Maximum or minimum of a quadratic function vertex
(h,k)
or
(-b/2a, f(-b/2a))
Difference Quotient Remember that f(x+h) means to input (x+h) in the x spot of the f(x)
function
Polynomial inequalities
Transformations of Parent Functions Parent functions can be transformed to create other
members in a family of graphs.
Remember HI VO ("Horizontal Inside, Vertical Outside")
, SLCC College Algebra 1050 Final Exam
Questions With Complete Solutions
Do you know the different families of graphs?
Piecewise-defined functions Could you graph a function like this?
Could you find something like f(0) or f(2)?
(Hint: we will only input the value into one of the three equations, not all 3)
Rational Zero Theorem
Multiplicity of zeros on a polynomial Zeros with even multiplicity --> Graph *touches* x-
axis at that intercept
Zeros with odd multiplicity --> Graph *crosses* x-axis at that intercept
Complex Conjugates Theorem if f is a polynomial function with real coefficients, and
a+bi is a complex zero of f, then a-bi is also a zero of f
End behavior of a polynomial