let's firstly convert it to an improper fraction.
Please awnser two more questions after this
1 answer:
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Answers:
f(-3) = -1
f(-1) = 2
f(3) = 5
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Explanations:
Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.
Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1
Through similar steps, you should find that f(-1) = 2 and f(3) = 5
Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.
Answer:
- a) T is not homogeneous
- b) T is not additive
- c) T is not homogeneous
- d) T is not additive
- e) T is not additive
Step-by-step explanation:
In each case there is an example where one property of linear functions fails.
- a)
. These vectors are not equal, then T doesn't satisfy the condition of scalar multiplication (homogeneity).
- b)
. Because these vectors are not equal, T doesn't satisfy the property of vector addition (additivity).
- c)
so T is not homogeneous.
- d)
then T is not additive.
- e)
then T is not additive.