Using Function Notation in Tables of Values

4.4.1 Using Function Notation in Tables of Values

4.4.1 • Using Function Notation in Tables of Values

Warm Up

Use the tables to answer each question.

xx f(x)=10−2xf(x)=10−2x
1 8
1.5 7
5 0
–2 14
xx g(x)=x3g(x)=x3

–2

–8

0

0

1

1

3

27

1.

What do you notice?

Compare your answers:

  • The tables don't say “input” and “output.”
  • While there is a column labeled xx, there is not a column labeled yy.
  • One function is called ff. The other is called gg.
  • There’s an expression (rather than a number) on the right side of the equation f(x)=10−2xf(x)=10−2x and g(x)=x3g(x)=x3.
  • If we substitute the values in the left column for the xx in the expression, we get the values in the right column.
2.

What do you wonder?

Compare your answers:

  • Why is xx on the right side of the equal sign?
  • Are there rules about how to name functions?
  • What does each equation, f(x)=10−2xf(x)=10−2x and g(x)=x3g(x)=x3, mean?