For the following questions, use the functions f and g represented in the table

Question

For the following questions, use the functions f and g represented in the table below. -3 -2 -1 .1 () 11 9 1. Evaluate f(-3) 2. Solve f(x)--1 3. Evaluate f(g(1)) 4. Evaluate g(g(0)) 5. Find f 1(11) 6. Is the function f one to one? Give a reason for your answer. Is the function f a line, quadratic, exponential, or logarithm? Give a reason for your answer. 7. 8. Is the function g one to one? Give a reason for your answer. 9. Is the function g a line, quadratic, exponential, or logarithm? Give a reason for your answer. 10. Create a table forfx).

Explanation / Answer

1. f(-3)

When x=-3, f(x) =11

So f(-3)=11

2. f(x)=-1

f(x) is -1 at x=3

3. f(g(1)) = f(2) =1

4.g(g(0)) = g(1) =2

5.f-1(11)

f(x) is 11 at x=-3

So f-1(11)=-3

6. For every x value, there is a distinct y value, so it is one to one .

7. The difference between two consecutive f(x) is same. So it is linear

8.For every x value, there is a distinct y value, so it is one to one .

9.The ratio of two consecutive g(x) is same. So it is exponential .

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