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Functions (lesson 2)

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Function notation represents an equation using f(x) where x is the input and f(x) is the output. To evaluate a function like f(x)=3x-7 at a value, substitute that value for x and simplify. For example, to find f(-4) where f(x)=3x-7, substitute -4 for x giving f(-4)=3(-4)-7=-19. Functions can also represent more complex equations like f(x)=x^2+7x-8, and evaluating them follows the same process of substitution.

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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 xs 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 = 2 + 7 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 xs 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 = 2 + 7 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.