Problem 1
For functions like f(x), the input is x and the output is f(x).
If x = 7, then f(7) = 12 has the input 7 and output 12.
Therefore the ordered pair is (7, 12) which is the answer
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Problem 2
Replace every x with 3 and simplify
f(x) = 3*x
f(3) = 3*3
f(3) = 9
The input x = 3 leads to the output y = 9. Recall that y = f(x).
So (3,9) is the answer here.
Consider the value of f at x=2.
f(2)=5*2+15=10+15=25. Thus, we have the point (2, 25) in the graph of f.
The graph of g is the graph of f compressed horizontally by a factor of 1/5.
So at 2, the y-coordinate is 25(1/5=5). That is, we have the point (2, 5).
All pairs (x, y) in f can be described by (x, 5x+15), thus, all pairs (x, y) in g can be described by (x, (5x+15)/5), that is (x, x+3). Thus, the rule for g is :
g(x)=x+3.
Answer: <span>A) g(x)=x+3</span>
Find the difference:
1400 - 1250 = 150
Divide the difference by the starting value:
150 / 1250 = 0.12
Multiply by 100:
0.12 x 100 = 12% increase.
