Concept explainers
Approximating the Slope of a Graph In Exercises 1-4, approximate the slope of the graph at the point (x, y). (Each square on the grid is 1 unit by 1 unit.)
To calculate: The slope of the provided graph at the given point
The provided graph is shown below,
Answer to Problem 1RE
Solution:
The slope of the given curve at point
Explanation of Solution
Given Information:
The provided graph is shown below,
Each grid in the curve represents 1 unit by 1 unit as dimensions
Formula used:
Consider the equation of the given curve as
Here
Calculation:
The change in y is 4 units decreasing for 2 unit increase in x direction.
Hence, using formula for the slope of a function,
Here
The slope of the given graph is,
Now, as there is a decrease of 2 units in y as per increase in a unit of x
Therefore, the slope at point
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Chapter 2 Solutions
Calculus: An Applied Approach (MindTap Course List)
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