Grade 12 Math: Function Tables
This worksheet focuses on understanding and analyzing function tables, including identifying function rules, completing tables, and relating tables to graphs and equations.
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Grade 12 Math: Function Tables
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Consider the function table below. The rule that describes this function is y = .
x
y
-2
-5
0
1
2
7
4
13
2. For the function table below, the function rule is f(x) = .
x
f(x)
-1
1/2
0
1
1
2
2
4
3. Complete the following function table for the rule y = 3x^2 - x + 1.
x
y
-1
0
1
2
4. Complete the function table for the rule f(x) = |2x - 3|.
x
f(x)
-2
0
1.5
3
5. Which of the following function tables represents a linear function?
x
y
1
1
2
4
3
9
x
y
1
5
2
7
3
9
x
y
0
1
1
2
2
4
x
y
-1
-1
0
0
1
1
6. The following table represents points on a graph. Which type of function best describes the relationship?
x
y
-3
9
-1
1
0
0
2
4
Linear
Quadratic
Exponential
Absolute Value
7. Plot the points from the function table below on the coordinate plane. Then, determine if the function is continuous or discrete.
x
y
-2
4
-1
1
0
0
1
1
2
4
Is the function continuous or discrete?
8. A function table can have multiple y-values for a single x-value.
True
False
9. Every function table can be represented by a single, simple algebraic equation.
True
False
10. Consider a function f(x) where the values are given in the table below. If f(x) is a polynomial function, what is the minimum possible degree of the polynomial? Justify your answer.
x
f(x)
1
2
2
5
3
10
4
17
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