Lesson 3

Using Function Notation

  • Let’s use function notation to talk about points.

3.1: Which One Doesn’t Belong: Function Notation

Which one doesn’t belong?

  • \(f(0) = 2\)
  • \((0,5)\)
  • \(y = x+2\)
  • A graph. 

3.2: Points into Function Notation and Back

  1. A function is given by the equation \(y = f(x)\). Write each of these coordinate pairs in function notation.
    1. \((2,3)\)
    2. \((\text{-}1,4)\)
    3. \((0,3)\)
    4. \((4,0)\)
    5. \(\left( \frac{2}{3}, \frac{3}{4} \right)\)
  2. A function is given by the equation \(h(x) = 5x - 3\). Write the coordinate pair for the point associated with the given values in function notation.
    1. \(h(3)\)
    2. \(h(\text{-}4)\)
    3. \(h\left( \frac{2}{5} \right)\)

3.3: A Graph with Properties

  1. Draw a graph of function \(y = g(x)\) that has these properties:

    • \(g(0) = 2\)
    • \(g(1) = 3\)
    • \((2,3)\) is on the graph
    • \(g(5) = \text{-}1\)
    A blank coordinate grid. The horizontal axis, x, scale from negative 10 to 10 by 1s. The vertical axis, y, scale from negative 10 to 10, by 1s.

  2. Han draws this graph for \(g(x)\). What is the error?

    A coordinate plane, with three line segments. 

Summary