Multiple Representations Worksheet
Explore multiple representations of functions including equations, graphs, tables, and verbal descriptions for Grade 12 mathematics.
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Multiple Representations of Functions
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Read each question carefully and provide the requested representation of the given function or relationship.
1. Graph the function f(x) = 2x - 3 on the coordinate plane below.
2. Write an equation for the function described verbally: 'The output is three less than twice the input.'
Equation:
3. Plot the points from the table below on the coordinate plane and connect them to form a graph.
x | y
---|---
-2 | 4
-1 | 1
0 | 0
1 | 1
2 | 4
4. Which equation best represents the graph shown below?
y = x + 5
y = -x + 5
y = 2x
y = x - 5
5. Describe the relationship shown in the graph below in words.
Match each function representation on the left with its corresponding equivalent on the right.
1. y = x²
a. The output is the input multiplied by itself.
2. The graph of a straight line passing through (0,0) and (1,1).
b. A table with points (-1, -1), (0, 0), (1, 1).
3. y = 3x - 1
c. A graph with a parabola opening upwards from the origin.