Interesting Features
Peculiar Points
Odd or Even
Draw the Function
100
This function increases on what interval?
(-3, 1)
100
Ho many relative maximums does this graph have?
3
100
Is the function odd, even, or neither?
f(x) = x^2 - 10
Even
100
Draw a function that is never decreasing with a range of [-5, 6]
Answers will vary
One Possibility
200
Where is this function constant?
(-6, -3)
200
What are the x-intercepts for this graph
x = {-7, -2, 1.5, 6.5}
200
An even function passes through the coordinate point (8,12). What is another coordinate point that the function MUST pass through?
(-8, 12)
200
Draw a function where the domain is [1, 3] and the range is [0, 4].
Graphs will vary.
One possibility is
300
This function concave up - true or false?
False
300
Find the absolute min and max of the function below.
Abs max cannot be named
Abs Min at the point (-5, 1/2)
300
Is the function odd, even or neither?
Even
300
Draw a function that is
a) positive on (-∞, -2) and
b) is negative on the interval (-2, ∞)
Any graph that is completely above the x-axis to the left x = -2 and completely below the x-axis to the
right of x = -2
400
Where is this function positive?
(-2, 1.5) u (6.5, 11)
400
HOw many inflection points does this graph have?
1
400
Is the function odd, even or neither
f(x)=x^3-3x
Odd
400
Draw a function that is
1) Increasing and concave up on (3, ∞)
2) Decreasing and concave up on (-∞, 3)
Answers will vary
One possibility
500
Where is the graph increasing?
[-9, -7] , [-3, 1] , [3, 9]
500
What are 2 different ways to classify the point (-7, 0)
an x-intercept and a relative maximum
500
Is the function even, odd, or neither?
y=4x-2x^3+3
Neither
500
Graph a function that has all of the following
1) A relative maximum at the point (-2, 5)
2) A relative minimum at (-6, 3) and an absolute minimum at (2, -5)
3) Inflection points at (-4, 4) and (0, 0)
