Average Rate of Change in Functions
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the average rate of change represent in a graph?
The y-intercept of the graph
The slope of a secant line
The x-intercept of the graph
The slope of a tangent line
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the average rate of change be calculated algebraically?
By finding the area under the curve
By integrating the function
By using the slope formula with function values
By finding the derivative
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the quadratic function example, what is the expression for the y-coordinate of the second point?
3x^2 + 2xh + h^2 - 2
3(x + h)^2 - 2
3x^2 + 6xh + 3h^2 - 2
3x^2 - 2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified expression for the average rate of change in the quadratic function example?
3h^2 + 6xh
6x + 3h
3h + 6x
3x + 6h
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the rational function example, what is the expression for the y-coordinate of the second point?
1/(9)
1/(9 + h)
1/(13 + h)
1/(13)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final expression for the average rate of change in the rational function example?
1/(13 + h)
1/(13)
1/(13 * (13 + h))
1/(13 * h)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the linear function example, what is the expression for the y-coordinate of the second point?
1/(1 + h)
1/(1)
1/(4 + h)
1/(4)
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