Question

evaluating functions given a table of values - notes

1. find f (1) =
2. find f (3) =
3. if f(x) = 13. what is x?

x =

1. find m (3) =
2. find m (7) =
3. if m(h) = 100. what is h?

h =
for problems 7 - 13 use the following tables

1. find f (1) =
2. find g (5) =
3. find g (f (1)) =
4. find g (9) =
5. find h (15) =
6. find h (g (9)) =

(the tables are as follows:
for f(x):

x	f(x)
1	9
2	13
3	17

for m(h):

hours worked h	1	3	5	7

for f(x) (in problems 7 - 13):

x	f(x)
1	5
2	9
3	13

for g(x):

x	g(x)
7	10
9	15
11	20

for h(x):

x	h(x)
10	2
15	5
20	9

)

Explanation:

Problem 1: Find \( f(1) \)

Step 1: Locate \( x = 1 \) in the table for \( f(x) \)

In the table for \( f(x) \), when \( x = 1 \), the corresponding \( f(x) \) value is given.
Looking at the table:

\( x \)	\( f(x) \)
1	9
2	13
3	17

When \( x = 1 \), \( f(1) = 9 \).

Step 1: Locate \( x = 3 \) in the table for \( f(x) \)

From the table:

\( x \)	\( f(x) \)
1	9
2	13
3	17

When \( x = 3 \), \( f(3) = 17 \).

Step 1: Find the \( x \) value corresponding to \( f(x) = 13 \)

Looking at the table for \( f(x) \):

\( x \)	\( f(x) \)
1	9
2	13
3	17

We see that when \( f(x) = 13 \), \( x = 2 \).

Answer:

\( f(1) = 9 \)

Problem 2: Find \( f(3) \)