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Function Notation

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Last updated over 3 years ago
24 questions
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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.
Question 1
1.

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

Question 2
2.

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

Question 3
3.

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

Question 4
4.

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

Question 5
5.

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

Question 6
6.

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.
Question 7
7.

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

Question 8
8.

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

Question 9
9.

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

Question 10
10.

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

Question 11
11.

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

Question 12
12.

What type of function is this?

Question 13
13.

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

Question 14
14.

What type of function is this?

Using the table of values, find the following:
Question 15
15.

f(-3) =

Question 16
16.

f(20) =

Question 17
17.

f(8) =

Question 18
18.

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

Question 19
19.

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

Question 20
20.

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.
Question 21
21.

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

Question 22
22.

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

Question 23
23.

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

Question 24
24.

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