Worksheet for finding the x-intercepts of quadratic functions, featuring eight problems with different quadratic equations.

Final Answer:
(1, 0) and (7, 0)

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Explanation:
- We need to find where the graph crosses the x-axis. That means we set f(x) = 0.
- So we solve: 2x² - 16x + 14 = 0
- First, we can divide the whole equation by 2 to make it easier:
→ x² - 8x + 7 = 0
- Now, we factor it. We need two numbers that multiply to 7 and add to -8.
→ Those numbers are -1 and -7.
- So we write: (x - 1)(x - 7) = 0
- Set each part equal to zero:
→ x - 1 = 0 → x = 1
→ x - 7 = 0 → x = 7
- The x-intercepts are points on the x-axis, so y is always 0.
→ So the answers are (1, 0) and (7, 0)

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