Function Graphs Worksheet
Explore and analyze various function graphs including linear, quadratic, exponential, and logarithmic functions. Practice identifying key features and transformations.
Includes
Standards
Topics
Function Graphs Analysis
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Read each question carefully and provide the best answer. Show all your work for short answer questions.
1. Which of the following graphs represents a function?
2. The graph of y = (x - 3)^2 + 1 is a transformation of y = x^2. Which describes the transformation?
Shift left 3, up 1
Shift right 3, up 1
Shift left 3, down 1
Shift right 3, down 1
3. The test is used to determine if a graph represents a function.
4. The domain of a function refers to all possible values.
5. Describe the end behavior of the function f(x) = -x^3 + 2x - 1.
6. Sketch the graph of y = |x + 2| - 3 on the coordinate plane below, clearly labeling at least three points.
7. A horizontal line passes the vertical line test, therefore it is a function.
True
False
8. The range of f(x) = e^x is all real numbers.
True
False
Match the function type with its general graph shape.
9. Linear Function
a. Parabola
10. Quadratic Function
b. Straight Line
11. Exponential Function
c. Increases/Decreases rapidly
12. Logarithmic Function
d. Inverse of exponential
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