X-intercepts Mastery Worksheet

A Grade 11 math worksheet focused on understanding, calculating, and interpreting x-intercepts of various functions.

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Includes

Fill in the Blanks3 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSF.IF.C.7.ACCSS.MATH.CONTENT.HSF.IF.C.7.E

Topics

AlgebraX-interceptsFunctionsGraphingGrade 11 Math

8 sections · Free to use · Printable

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Date:

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Read each question carefully and provide clear, concise answers. Show all your work for full credit.

1. The x-intercept of a function is the point where the graph crosses the .

2. At the x-intercept, the value of the y-coordinate is always .

3. To find the x-intercept algebraically, you set to zero and solve for x.

4. Find the x-intercept of the linear function y = 3x - 9.

5. Determine the x-intercept(s) of the quadratic function f(x) = x² - 5x + 6.

6. Which point represents the x-intercept on the graph below?

(0, 5)

(5, 0)

(2, 3)

(0, 0)

7. Graph the function y = -2x + 4 on the coordinate plane below. Label the x-intercept clearly.

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

True

False

9. A vertical line has an x-intercept unless it is the y-axis itself.

True

False

10. Consider the function g(x) = |x - 3| - 2. Find all x-intercepts of this function.