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Functions
Are they really fun?
Function notation
• Function notation is writing something using the form f(x).
• So, an equation like y=3x-7 in function notation is just f(x)=3x-7
• Just remember f(x) is just a fancy way to write y.
How to solve an equation using function
notation
• So, if a question says f(x)=3x-7, find f(-4), you replace all of your x’s with -4.
• Try this one.The solution is on the next slide.
• This means that when x=-4, y=-19.You can also think of it as the point (-4, -19) is on this
line.
Need a more challenging one?
• Given that 𝑓 𝑥 = 𝑥2 + 7𝑥 − 8, find f(-3). Look on the next slide for the
worked out answer.
• Using this function, when x=-3, y=-20.That is what f(-3)=-20 means.

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Functions (lesson 2)

  • 2. Function notation • Function notation is writing something using the form f(x). • So, an equation like y=3x-7 in function notation is just f(x)=3x-7 • Just remember f(x) is just a fancy way to write y.
  • 3. How to solve an equation using function notation • So, if a question says f(x)=3x-7, find f(-4), you replace all of your x’s with -4. • Try this one.The solution is on the next slide.
  • 4. • This means that when x=-4, y=-19.You can also think of it as the point (-4, -19) is on this line.
  • 5. Need a more challenging one? • Given that 𝑓 𝑥 = 𝑥2 + 7𝑥 − 8, find f(-3). Look on the next slide for the worked out answer.
  • 6. • Using this function, when x=-3, y=-20.That is what f(-3)=-20 means.