Final answer:
The zeros of the function f(x) = x² - 9 are x = 3 and x = -3.
Step-by-step explanation:
The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph.
The zeros of the function f(x) = x² - 9 can be found by setting the function equal to zero and solving for x.
x² - 9 = 0
Adding 9 to both sides, we get:
x² = 9
Taking the square root of both sides, we get:
x = ±3
Therefore, the zeros of the function are x = 3 and x = -3.