Referenced from lesson Defining Functions (Spring, 2021)

Look at each set of examples on the left and circle what is changing from one example to the next.

Then,match the examples on the left to the definitions on the right.

Examples: Functions:
x$\displaystyle x$ fx$\displaystyle f(x)$

1

2 × 1$\displaystyle 2 \times 1$

2

2 × 2$\displaystyle 2 \times 2$

3

2 × 3$\displaystyle 2 \times 3$

1

A

fx=x-3$\displaystyle f(x)=x-3$

x$\displaystyle x$ fx$\displaystyle f(x)$

15

15 - 3$\displaystyle 15 - 3$

25

25 - 3$\displaystyle 25 - 3$

35

35 - 3$\displaystyle 35 - 3$

2

B

fx=2x$\displaystyle f(x)=2x$

x$\displaystyle x$ fx$\displaystyle f(x)$

10

10 + 2$\displaystyle 10 + 2$

15

15 + 2$\displaystyle 15 + 2$

20

20 + 2$\displaystyle 20 + 2$

3

C

fx=2x+1$\displaystyle f(x)=2x+1$

x$\displaystyle x$ fx$\displaystyle f(x)$

0

30 -2$\displaystyle 3(0) -2$

1

31 -2$\displaystyle 3(1) -2$

2

32 -2$\displaystyle 3(2) -2$

4

D

fx=3x-2$\displaystyle f(x)=3x-2$

x$\displaystyle x$ fx$\displaystyle f(x)$

10

210 + 1$\displaystyle 2(10) + 1$

20

220 + 1$\displaystyle 2(20) + 1$

30

230 + 1$\displaystyle 2(30) + 1$

5

E

fx=x+2$\displaystyle f(x)=x+2$

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