
Curve Sketching Techniques with Derivatives

Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Hard
+1
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following shapes is concave down?
A circle
A U-shape opening upwards
A U-shape opening downwards
A straight line
Tags
CCSS.HSF-IF.C.7A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sign of the second derivative for a concave upward shape?
Undefined
Zero
Positive
Negative
Tags
CCSS.HSF.IF.B.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a function is increasing, what is the sign of its first derivative?
Positive
Negative
Zero
Undefined
Tags
CCSS.HSF-IF.C.7C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the x-intercepts of the polynomial function f(x) = x^3 + 6x^2 + 9x?
1 and -1
3 and -3
0 and 3
0 and -3
Tags
CCSS.HSF-IF.C.7C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first derivative of the function f(x) = x^3 + 6x^2 + 9x?
x^2 + 6x + 9
3x^2 + 12x + 9
3x^2 + 9x + 6
3x^2 + 6x + 9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the critical point of the function f(x) = x^3 + 6x^2 + 9x?
-3 and -1
0 and -3
0 and 3
3 and -1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the second derivative of the function f(x) = x^3 + 6x^2 + 9x?
6x + 12
6x + 9
3x + 9
3x + 12
Tags
CCSS.HSF.IF.A.2
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