Activity 5: It’s Your Turn, Show Me
For each of the following functions below, give
a. the x-intercepts
b. the intervals obtained when the x-intercepts are used
to partition the number line
c. the table of signs
d. a sketch of the graph
1. = (2 + 3)( − 1)( − 4)
2. = 4 − 262 + 25
Questions:
a. What happens to the graph as x decreases without bound?
b. For which interval(s) in the graph (i) above and (ii) below the x-axis?
c. What happens to the graph as x increases without bound?
d. What is the leading term of the polynomial function?
e. What are the leading coefficient and the degree of the function?