Grade 12 Graph Analysis Worksheet

Analyze various types of graphs including linear, quadratic, exponential, and logarithmic functions, interpreting their features and transformations.

Grade 12 Math Data and GraphingGraph Analysis

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSF.IF.C.7CCSS.MATH.CONTENT.HSF.BF.B.3CCSS.MATH.CONTENT.HSA.CED.A.2

Topics

Graph AnalysisFunctionsAlgebra 2PrecalculusTransformations

7 sections · Free to use · Printable

Grade 12 Graph Analysis

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Read each question carefully and analyze the given graphs to determine the correct answers. Show all your work for short answer questions.

1. Which of the following graphs represents a function with a vertical asymptote at x = 2 and a horizontal asymptote at y = 1?

y = (x+1)/(x-2)

y = (x-2)/(x+1)

y = (x+2)/(x-1)

y = (x-1)/(x+2)

2. The graph of a function f(x) is shown below. What is the approximate value of f(3)?

-2

3. The graph of y = 2^x has a horizontal asymptote at .

4. A local maximum or minimum point on a graph is called an .

5. Describe the transformations applied to the graph of f(x) = x^2 to obtain the graph of g(x) = -2(x+3)^2 - 1.

6. The domain of the function f(x) = sqrt(x-4) is all real numbers.

True

False

7. Sketch the graph of y = log(x-1) and identify its domain, range, and any asymptotes.