What is the formula for the difference quotient?

Difference Quotient and Function Evaluation

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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23 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
f(x) + f(h) / x
f(x + h) + f(x) / h
f(x + h) - f(x) / h
f(x) - f(h) / x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in using the difference quotient?
Identifying the function
Finding the derivative
Simplifying the expression
Labeling the points
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the difference quotient help to find?
The maximum value of a function
The area under a curve
The slope of a secant line
The slope of a tangent line
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the secant line in the difference quotient?
It determines the maximum value
It helps find the slope between two points
It represents the tangent line
It is used to calculate integrals
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in evaluating functions at specific points?
Evaluating the function at x
Labeling the points
Finding the derivative
Simplifying the expression
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of evaluating the function at x + h?
To find the maximum value
To determine the slope
To calculate the derivative
To simplify the expression
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it suggested to label points as X1, Y1, X2, Y2?
To avoid confusion
To simplify the equation
To easily identify the slope
To make the graph look neat
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