Sec 2 Honors – Assign 12.3
Name: _____________________
per: _____
1. The x-intercepts of a quadratic function may also be called the _______________ or the _________________
of the quadratic function.
2. A model rocket is launched from
the ground with an initial velocity of
120 feet per second.
Give answers in interval notation, where appropriate.
Round to 2 decimal places.
Max point:
Write a vertical motion equation for
the rocket.
ℎ(𝑡) =
Zeros:
Domain (in context):
Range (in context):
Give the calculator window used:
x-min:
x-max:
y-min:
y-max:
Show a sketch of your calculator
window. Label the axis in context
and numerically.
How high off the ground is the rocket after 1.2 seconds?
Hint: use “value”
How high off the ground is the rocket after 2.5 seconds?
At what times is the rocket 100 ft in the air?
Hint: use “intersection”
At what time does the rocket hit the ground?
Hint: use “intersection”
Give the increasing interval in context.
Hint: remember you are giving the x-values!
Give the decreasing interval in context.
3. A model rocket is launched from
the ground with an initial velocity of
60 feet per second.
Give answers in interval notation, where appropriate.
Round to 2 decimal places.
Domain (in context):
Write a vertical motion equation for
the rocket.
ℎ(𝑡) =
Range (in context):
How high off the ground is the rocket after 0.6 seconds?
Give the calculator window used:
x-min:
x-max:
y-min:
y-max:
Show a sketch of your calculator
window. Label the axis in context
and numerically.
At what times is the rocket 50 ft in the air?
What is the maximum height the rocket reaches?
When does the rocket reach the maximum height?
When does the rocket hit the ground?
Give the increasing interval in context .
Give the decreasing interval in context.
4. A baseball is thrown into the air
from a height of 5 feet with an initial
vertical velocity of 15 feet per
second.
Give answers in inequality notation, where appropriate
Round to 2 decimal places.
Write a vertical motion equation for
the baseball.
ℎ(𝑡) =
Domain (in context):
Give the calculator window used:
x-min:
x-max:
y-min:
y-max:
At what times is the baseball 8 ft in the air?
Show a sketch of your calculator
window. Label the axis in context
and numerically.
How high in the air is the baseball after 1.3 seconds?
Max point:
Zeros:
Range (in context):
How high in the air is the baseball after 0.9 seconds?
What time does the baseball reach its maximum height?
What time does the baseball hit the ground?
Give the increasing interval in context.
Give the decreasing interval in context.
5. A tennis ball is dropped from a
height of 25 feet. The initial velocity
of an object that is dropped is 0 feet
per second.
Give answers in inequality notation, where appropriate
Domain (in context):
Range (in context):
Write a vertical motion equation for
the tennis ball.
ℎ(𝑡) =
How high is the ball off the ground after dropping for 0.1 seconds?
How high is the ball off the ground after dropping for 0.5 seconds?
Give the calculator window used:
x-min:
x-max:
y-min:
y-max:
How high is the ball off the ground after dropping for 1 second?
At what time is the ball 10 ft in the air?
Show a sketch of your calculator
window. Label the axis in context
and numerically.
What is the maximum height the ball reaches?
When does the ball reach its maximum height?
When does the ball hit the ground?
Give the increasing interval in context.
Give the decreasing interval in context.
6. Give an answer for each interval described in interval notation.
a. All real numbers greater than or equal to
but less
b. All real numbers greater than or equal to
than 5.
c. All real numbers less than or equal to b.
d. All real numbers greater than or equal to n.
.
7. Use your calculator to graph the function and find the following:
a.
b.
calculator window:
calculator window:
x-min:
x-max:
x-min:
x-max:
y-min:
y-max:
y-min:
y-max:
c.
calculator window:
x-min:
x-max:
y-min:
y-max:
calculator screen:
calculator screen:
calculator screen:
Max/Min ordered pair:
Max/Min ordered pair:
Max/Min ordered pair:
Increasing interval:
Increasing interval:
Increasing interval:
Decreasing interval:
Decreasing interval:
Decreasing interval:
8. Kiana is making a rectangular
vegetable garden alongside her
home. She has 24 feet of fencing to
enclose the garden around the three
open sides.
Write an equation representing the
area of the garden in terms of the
width. Show neat work!
Use your graphing calculator to find
the maximum area:
(
𝐴(𝑤) =
,
)
What dimensions will give the
maximum area? Hint: W by L
Calculator window:
x-min:
x-max:
y-min:
y-max:
9. DC & BC are tangent segments.
AB=6 cm, AC=10 cm find BC.
10. Given: sin   
3
, where
2
0    2 . Find  .
find BC:
Find the volume of a sphere that
has the same radius as circle A
above. Show work 
Show triangles! These problems are
not going away!!! Get help if you
still do not know how to do them.
11. Write the equation of a line
that passes through the points
(-1, 4) and (2, -5). Simplify your final
answer to slope-intercept form.
Show work 