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Milestones Review: Function Notation

Last updated over 3 years ago
24 questions
When a function can be written as an equation, the symbol f(x) replaces y and is read as "the value of f at x" or simply "f of x".
This does NOT mean f times x.
When y is replaced with f(x) it is called function notation.
REMEMBER: f(-3) means -3 is your input and you substitute it for x.
f(x) = -3 means that your output is equal to -3 and you set it equal to your function.
1

If f(x) = 2x - 3, find f(-2)

1

If f(x) = 2x - 3, find f(7)

1

If f(x) = 2x - 3, find f(-4)

1

If k(x) = -7x + 1, find k(0)

1

If k(x) = -7x + 1, find k(-1)

1

If k(x) = -7x + 1, find k(5)

Sometimes the will be more than one x in an equation. In this case, replace every x with the value in parentheses.
1

If h(x) = x2 - 3x + 5, find h(-3)

1

If h(x) = x2 - 3x + 5, find h(5)

1

If p(x) = x2 + 5x - 3, find p(-2)

1

If p(x) = x2 + 5x - 3, find p(1)

0

If f(x) = 5x - 3, fill out the following table of values:

1

What type of function is this?

0

If f(x) = 2x + 5, fill out the following table of values: (You can use your calculator)

1

What type of function is this?

Using the table of values, find the following:
1

f(-3) =

1

f(20) =

1

f(8) =

1

If f(x) = 9, what is x?

1

If f(x) = 4, what is x?

1

If f(x) = 0, what is x?

Sometimes, instead of finding the value of the function at a given x-value, you will be given the output and asked to find the value of x. In these cases, replace the function notation and solve for x.
1

Let f(x) = 2x - 3. If f(x) = 15, what is x?

1

Let g(x) = 3x + 2. If g(x) = 11, what is x?

1

Let w(x) = 3x - 7. If w(x) = 14, what is x?

1

Let h(x) = -2x - 5. If h(x) = -25, what is x?