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(10 points) Explain how to find the following from the graph of a function:
A: Domain/Range
B: Increasing/Decreasing Intervals
C: Zeroes
D: Y-intercept
E. Maximum/Minimum

User Bimlas
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1 Answer

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Answer:

Step-by-step explanation:1. THE DOMAIN is all possible x values. Clearly there are no exceptions for this function so the domain is – ∞ < x < ∞

2. THE RANGE is all possible y values. Clearly the range is all y values greater than or equal to zero with no exceptions. The range is 0 ≤ y < ∞

3. The x intercepts are where the graph crosses the x axis.

The y intercepts are where the graph crosses the y axis.

For this function the point (0, 0) applies to both.

4. The function is not continuous when x = 1 and when x = 2

5. A function is decreasing when the gradient is negative.

This function is decreasing when – ∞ < x < 0

6. This function is “a constant value” y = 3 for x values in 1 < x ≤ 2

User Naeemgik
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