32. (a) For an even function, f(x) = f(-x). Given f(5) = 3, we know f(-5) = 3.
Therefore (-5, 3) is also on the graph.
For an odd function, f(-x) = -f(x). Given f(5) = 3, we know f(-5) = -3.
Therefore (-5, -3) is also on the graph.
33. f(-x) = -f(x). The function is odd.
34. f(-x) = x/(x-1) ≠ -f(x) ≠ f(x). The function is neither even nor odd.
35. f(-x) = f(x). The function is even.
Answer:
- a. E = {1, 2, 3, 4, 5, 6, 7, 8}
- b. A ∩ B = {2, 3}
- c. A ∪ B = {1, 2, 3, 4, 5, 7, 8}
Step-by-step explanation:
Locate the designated space on the diagram and list all the numbers in it.
a. E = {1, 2, 3, 4, 5, 6, 7, 8} . . . . all numbers in the rectangle
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b. A ∩ B = {2, 3} . . . . where the circles overlap
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c. A ∪ B = {1, 2, 3, 4, 5, 7, 8} . . . . only 6 is outside the circles
It is given that the bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. Thus, there are four colors of cards. So, in randomly a card there are just four possible outcomes. The outcomes are:
1. A Blue Card
2. A Green Card
3. A Red Card
4. A Yellow Card
Their probabilities of occurrence will differ but it is a fact that there will be just four possible outcomes.
Answer:

Step-by-step explanation:
Hi there!

Distribute 2/3 and 5 into the parentheses:

Combine like terms:

I hope this helps!