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"Quadratic functions have Answer 1 Question 16, or x𝑥-intercepts, in any other case where the function crosses the x𝑥-axis at two separate points.

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Solution

Quadratic functions can have two x-intercepts. This happens when the function crosses the x-axis at two separate points. Here are the steps to find the x-intercepts of a quadratic function:

  1. Write down the quadratic function in standard form. The standard form of a quadratic function is y = ax^2 + bx + c.

  2. Set y equal to zero. The x-intercepts are the values of x where y is zero.

  3. Solve the resulting equation for x. This can be done by factoring, completing the square, or using the quadratic formula. The solutions to this equation are the x-intercepts of the function.

  4. If the equation has no real solutions, then the function does not have any x-intercepts. If the equation has one real solution, then the function has one x-intercept. If the equation has two real solutions, then the function has two x-intercepts.

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