Algebra 2: Chapter 5
Critical
Thinking
Problems
5.1-5.3
1. Give an example of a
quadratic function that
has a maximum value.
How do you know that
it has a maximum?
2. Is it relevant to talk
about the maximum
or minimum of a
linear function?
Why or why not?
3. A quadratic function has
values f(-4) = -11, f(-2) =
9, and f(0) = 5. Between
which two x values must
it have a zero?
Explain your reasoning.
–
24x + 50 in vertex
form.
4. Write f(x) =
2
3x
5. Use the Zero-Product
Property to show that
2
f(x) = ax + bx, where
a ≠ 0, has two zeros,
namely 0 and –b/a.
6. What do you know about
2
the factors of x + bx + c
when c is positive?
When c is negative?
What information does
the sign of b give you in
each case?
7. A soccer ball is kicked from
the ground, and its height in
meters above ground is
modeled by the function
h(t) = -4.9t2 + 19.6t, where t
represents the time in seconds
after the ball is kicked.
How long is the ball in the air?
8. The area of a circle is given
by A = πr2, where r is the
radius. If the radius of a
circle is increased by 4
inches, the area of the
resulting circle is 100π
square inches. Find the
radius of the original circle.