Matching Equations and Graphs
This worksheet focuses on matching various types of equations to their corresponding graphs, including linear, quadratic, exponential, and logarithmic functions, suitable for Grade 12 students.
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Matching Equations and Graphs
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Read each question carefully and follow the instructions to match equations with their corresponding graphs. Pay close attention to the characteristics of each function type.
Match each linear equation with its graph.
1. y = 2x - 3
a. Graph with positive slope, y-intercept at (0, 3)
2. y = -x + 3
b. Graph with positive slope, y-intercept at (0, -3)
3. y = (1/2)x + 1
c. Graph with negative slope, y-intercept at (0, 3)
1. Which equation represents the parabola shown below?
y = x² + 2x - 3
y = -x² + 2x + 3
y = (x - 3)² + 1
y = -(x - 3)² + 1
Complete the statements below by identifying the function type.
1. A graph that rapidly increases or decreases and has a horizontal asymptote is typically an function.
2. A graph that increases slowly and has a vertical asymptote is characteristic of a function.
1. Describe one key difference between the graph of y = 2^x and y = log₂(x).
Determine if the following statements about rational functions are true or false.
1. A rational function can have both horizontal and vertical asymptotes.
True
False
2. The graph of a rational function can never cross its horizontal asymptote.
True
False
1. Which type of function is best represented by a graph that passes through the origin and increases at a constant rate?
Quadratic
Exponential
Linear
Logarithmic