Evaluate - Function Table Worksheet - Free Printable

Let’s solve each part step by step.

---

Part A: Evaluate each function from the table.

We are given tables with x-values and corresponding f(x) values. To find f(some number), we look for that number in the x-row, then read the f(x) value directly below it.

---

Problem 1):

Table:
```
x | -4 2 7 10
f(x) | 6 11 0 14
```

i) f(-4) → Look at x = -4 → f(x) = 6
ii) f(7) → Look at x = 7 → f(x) = 0

✔ Answers:
i) 6
ii) 0

---

Problem 2):

Table:
```
x | 5 8 13 19
f(x) |37 -13 -55 22
```

i) f(13) → x=13 → f(x)= -55
ii) f(8) → x=8 → f(x)= -13

✔ Answers:
i) -55
ii) -13

---

Problem 3):

Table:
```
x | -17 -16 -11 3
f(x) | -27 -17 1 29
```

i) f(3) → x=3 → f(x)=29
ii) f(-17) → x=-17 → f(x)= -27

✔ Answers:
i) 29
ii) -27

---

Problem 4):

Table:
```
x | 0 4 10 14
f(x) |-16 99 0 -8
```

i) f(4) → x=4 → f(x)=99
ii) f(14) → x=14 → f(x)= -8

✔ Answers:
i) 99
ii) -8

---

Part B: Evaluate the functions from the table.

Now we have two functions: f(x) and g(x), both defined for same x-values.

---

Problem 1):

Table:
```
x | f(x) g(x)
6 | 35 19
13 | -19 5
15 | 8 23
```

i) f(13) → x=13 → f(x)= -19
ii) f(6) → x=6 → f(x)=35
iii) g(15) → x=15 → g(x)=23
iv) g(13) → x=13 → g(x)=5
v) For what value of x, f(x) is 35? → Look where f(x)=35 → x=6
vi) For what value of x, g(x) is 5? → Look where g(x)=5 → x=13

✔ Answers:
i) -19
ii) 35
iii) 23
iv) 5
v) 6
vi) 13

---

Problem 2):

Table:
```
x | f(x) g(x)
-6 | -24 14
1 | 4 -4
4 | 16 10
```

i) f(4) → x=4 → f(x)=16
ii) g(1) → x=1 → g(x)= -4
iii) g(4) → x=4 → g(x)=10
iv) g(-6) → x=-6 → g(x)=14
v) For what value of x, f(x) is -24? → Look where f(x)= -24 → x= -6
vi) For what value of x, f(x) is 4? → Look where f(x)=4 → x=1

✔ Answers:
i) 16
ii) -4
iii) 10
iv) 14
v) -6
vi) 1

---

Final Answer:
A) 1) i) 6, ii) 0
2) i) -55, ii) -13
3) i) 29, ii) -27
4) i) 99, ii) -8

B) 1) i) -19, ii) 35, iii) 23, iv) 5, v) 6, vi) 13
2) i) 16, ii) -4, iii) 10, iv) 14, v) -6, vi) 1