Given that f(x) = x/x - 9, answer the questions below. Complete the following ta

Question

Given that f(x) = x/x - 9, answer the questions below. Complete the following tables of values. Show the calculations that provided your answers. How do the output values of f change as x rightarrow 9^-? Why does this happen? How do the output values of f change as x rightarrow 9^+ ? Why does this happen? Using a calculator, graph f. Explain how the graph supports your conclusions above. What changes if the definition of f becomes f(x) = x/9-x? Why does this happen? What changes if the definition of f becomes f(x) = x/x+9? Why does this happen?

Explanation / Answer

6) a) f(x) = x/x-9

Put x = 8

f(8) = -8

f(8.9) = 8.9/-0.1 = -89

f(8.99) = 8.99/-0.01 = -899

f(8.999) = 8.999/-0.001 = -899

b) It will tend to decrease and values will be negative as denominator has x - 9. If we put any value less than 9 it will be negative. f(x) will be positive if x is negative or x is greater than 9

c) F(x) will be positive if x>9 as denominator will be positive

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