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Function Graphs Worksheet

Explore and analyze various function graphs including linear, quadratic, exponential, and logarithmic functions. Practice identifying key features and transformations.

Grade 11 Math Functions OperationsFunction Graphs
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSF.IF.C.7CCSS.MATH.CONTENT.HSF.BF.B.3

Topics

functionsgraphsalgebra 2precalculus
7 sections · Free to use · Printable
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Function Graphs Analysis

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Date:

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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?

a
b
c
d

2. The graph of y = (x - 3)^2 + 1 is a transformation of y = x^2. Which describes the transformation?

a

Shift left 3, up 1

b

Shift right 3, up 1

c

Shift left 3, down 1

d

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.

-5-4-3-2-112345-5-4-3-2-112345

7. A horizontal line passes the vertical line test, therefore it is a function.

T

True

F

False

8. The range of f(x) = e^x is all real numbers.

T

True

F

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