X-intercept Mastery - Grade 12

This worksheet focuses on understanding and calculating x-intercepts of various functions, including linear, quadratic, and polynomial equations, essential for Grade 12 Algebra.

Grade 12 Math AlgebraX-intercept

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSF.IF.C.7.ACCSS.MATH.CONTENT.HSA.APR.B.3CCSS.MATH.CONTENT.HSF.BF.B.3

Topics

AlgebraX-interceptFunctionsGrade 12

8 sections · Free to use · Printable

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X-intercept Mastery - Grade 12

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Date:

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Read each question carefully and provide the most accurate answer. Show all your work for full credit.

1. In your own words, define what an x-intercept is and explain its significance in the graph of a function.

2. Find the x-intercept of the linear equation y = 3x - 9. The x-intercept is .

3. The x-intercept of the equation 2x + 5y = 10 is .

4. Which of the following quadratic functions has x-intercepts at x = 2 and x = -3?

y = (x - 2)(x + 3)

y = (x + 2)(x - 3)

y = x^2 - x - 6

Both a and c

5. Determine the x-intercept(s) of the polynomial function f(x) = x^3 - 4x^2 + 3x.

6. A function can have more than one x-intercept.

True

False

7. The x-intercept is always the point where the graph crosses the y-axis.

True

False

8. Graph the function f(x) = x^2 - 4 and identify its x-intercepts on the graph.

X-intercept(s): .