If f(x) = x^2 - 4, what are the x-intercepts?

If f(x) = x^2 - 4, what are the x-intercepts?

Step 1: Understand that x-intercepts are points where the graph of the function crosses the x-axis. This happens when f(x) = 0.
Step 2: Write down the function: f(x) = x^2 - 4.
Step 3: Set the function equal to zero to find the x-intercepts: x^2 - 4 = 0.
Step 4: Solve the equation x^2 - 4 = 0. This can be done by adding 4 to both sides: x^2 = 4.
Step 5: Take the square root of both sides. Remember that taking the square root gives two solutions: x = 2 and x = -2.
Step 6: Conclude that the x-intercepts are at the points (2, 0) and (-2, 0).

Finding x-intercepts – To find the x-intercepts of a function, set the function equal to zero and solve for x.
Quadratic equations – Understanding how to solve quadratic equations, particularly those in the form of x^2 - k = 0.