What is the basic idea of a function?

Understanding Functions and Definite Integrals

Interactive Video
•

Emma Peterson
•
Mathematics
•
9th - 12th Grade
•
Hard
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A function only works with integers.
A function maps an input to a corresponding output.
A function is a type of equation.
A function outputs a random number.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is f(x) defined if x is odd in the given example?
f(x) = x - 1
f(x) = x cubed
f(x) = x + 1
f(x) = x squared
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What new method is introduced for defining a function?
Using a polynomial
Using a derivative
Using a definite integral
Using a logarithm
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does g(x) represent in the context of the video?
The average of f(t) values
The sum of f(t) values
The definite integral of f(t) from -2 to x
The derivative of f(t)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the area under the curve calculated for g(1)?
By subtracting the area of a triangle from a rectangle
By dividing the area of a rectangle by two
By adding the areas of a rectangle and a triangle
By multiplying the width and height of the rectangle
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the area under the curve for g(1)?
15 square units
16 square units
21 square units
10 square units
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What additional area is added to calculate g(2)?
4 square units
3 square units
6 square units
5 square units
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the total area under the curve for g(2)?
16 square units
20 square units
21 square units
25 square units
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the key takeaway about defining functions?
Functions can be defined using definite integrals.
Functions cannot be graphed.
Functions can only be defined using algebraic expressions.
Functions are always linear.
10.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of using definite integrals in defining functions?
It provides a new way to calculate outputs based on areas.
It simplifies the function.
It makes the function more complex.
It limits the function to integers.
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