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.
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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): .
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