erinmcintosh2002
erinmcintosh2002 1d ago • 10 views

Practical Applications of Function Notation (f(x)) with Examples

Hey everyone! 👋 Function notation can seem tricky, but it's super useful once you get the hang of it. Let's break it down and practice with some examples! 🤓
🧮 Mathematics
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📚 Quick Study Guide

  • 🔢 Function Notation: $f(x)$ means "the value of the function $f$ at $x$".
  • 📈 Input & Output: $x$ is the input, and $f(x)$ is the output.
  • Evaluation: To evaluate $f(a)$, substitute $a$ for $x$ in the function's expression.
  • 💡 Practical Use: Function notation helps model real-world relationships, like distance as a function of time.
  • 📝 Example: If $f(x) = x^2 + 2x - 1$, then $f(3) = (3)^2 + 2(3) - 1 = 9 + 6 - 1 = 14$.

Practice Quiz

  1. If $f(x) = 3x + 2$, what is $f(4)$?

    1. 6
    2. 10
    3. 14
    4. 20
  2. Given $g(x) = x^2 - 5$, find $g(-2)$.

    1. -9
    2. -1
    3. 1
    4. 9
  3. If $h(t) = \frac{2t}{t+1}$, what is $h(3)$?

    1. $\frac{1}{2}$
    2. $\frac{3}{2}$
    3. 2
    4. 3
  4. Let $f(x) = 5$. What is $f(10)$?

    1. 0
    2. 5
    3. 10
    4. 50
  5. If $p(x) = |x - 7|$, find $p(2)$.

    1. -5
    2. 2
    3. 5
    4. 9
  6. Given $q(r) = \sqrt{r + 9}$, what is $q(7)$?

    1. 2
    2. 4
    3. 8
    4. 16
  7. If $f(x) = -2x + 8$, for what value of $x$ is $f(x) = 0$?

    1. -4
    2. 0
    3. 4
    4. 8
Click to see Answers
  1. C
  2. B
  3. B
  4. B
  5. C
  6. B
  7. C

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