
Functions and Their Intervals
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
+2
Standards-aligned
Roderick Brannon
Used 8+ times
FREE Resource
3 Slides • 16 Questions
1
2
Multiple Choice
(6,7) and (4,2)
3
Multiple Choice
4
Multiple Select
Which three statements about the function are true?
g(1) = -1
g(0) = 0
g(4) = -2
g(1) = 1
g(-1) = 1
5
6
Multiple Select
Over what intervals is F(x) constant? Check all that apply.
−10<x<−7
−7<x<−2
−2<x<−1
−1<x<4
4<x<8
7
Multiple Select
Over what intervals is F(x) increasing? Check all that apply.
−10<x<−7
−7<x<−2
−2<x<−1
−1<x<4
4<x<8
8
Multiple Select
Over what intervals is F(x) decreasing? Check all that apply.
−10<x<−7
−7<x<−2
−2<x<−1
−1<x<4
4<x<8
9
Draw
Plot a point on the graph on an interval where the graph is increasing. Draw a line that touches the graph at that one point (tangent). How can we describe the slope of that line?
10
Draw
Plot a point on the graph on an interval where the graph is decreasing. Draw a line that touches the graph at that one point (tangent). How can we describe the slope of that line?
11
The point where the function changes from increasing to decreasing is another definition of a local minimum.
The point where the function changes from decreasing is another definition of a local minimum.
12
Draw
Plot a point on the graph where the function has a local max or min. Draw a line that touches the graph at that one point (tangent). How can we describe the slope of that line?
13
Multiple Choice
What is the relative maximum?
(1,0)
(2,2)
(0,-2)
(-2,8)
14
Multiple Choice
What is the relative minimum?
(1,2)
(2,2)
(0,-2)
(3.5, -11)
15
Multiple Choice
Identify where the function is decreasing.
x < -4 , x > 1
-4 < x < 1
-6 < x < 7.5
All Real Numbers
16
Multiple Choice
Identify the x-intercept(s) of the function.
x=−2
x=−4
x=−4,−1
x=−4,−1,4
17
Multiple Choice
Identify the y-intercept(s) of the function.
y=−2
y=2,−2, −4.5
y=−4
None
18
Multiple Choice
Over what interval is this function constant?
x>−5
−3<x<4
x>4
−5
19
Match
Match the following
When the graph is increasing....
When the graph is decreasing...
When the graph has a local max or min...
When the graph goes from increasing to decreasing...
When the graph goes from decreasing to increasing...
the tangent line slopes are positive
the tangent line slopes are negative.
the tangent line slopes is zero.
a local max has been reached.
a local min has been reached.
the tangent line slopes are positive
the tangent line slopes are negative.
the tangent line slopes is zero.
a local max has been reached.
a local min has been reached.
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