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1. The graph of y = h(x) is shown in red below. Compute h(h(7)).

(Assume grid lines are spaced 1 unit apart.)

2. Below is a portion of the graph of a function, y=u(x):

What is the exact value of u(-2.72)+u(-0.81)+u(0.81)+u(2.72) ?

Guest Mar 4, 2019

#1**+1 **

1. h(7) means that we go to 7 on x and look at the y value at that point...this is 5

So h(7) = 5

So...now we are trying to find h(h(7)) = h(5)

So now...we do the same thing.....go to 5 on x and find the y value at that point = this is -1

So h(h(7)) = h(5) = -1 !!!

CPhill Mar 4, 2019

#2**+1 **

2. This one seems harder than it really is

This function is odd [ it is symmetric about the orgin ] which means that if ( - a, - b) is on the graph....then so is (a, b)

So u (-2.72) leads to some - b

And u (2.72) leads to some b

So adding these together, we get -b + b = 0

The same logic will apply to u(-0.81) and u(0.81)

Adding their outputs will = 0

So

u(-2.72)+u(-0.81)+u(0.81)+u(2.72) = 0

CPhill Mar 4, 2019