Question

If you know that f(x) is and EVEN function and you are given the solution point (3, -4) on f(x) what other point do you know? Explain using full sentences why this is true.

Answer 1

If the function f(x) is even and we know one point (3, -4) on the function, we can determine another point (-3, -4) on the function due to its symmetry about the y-axis.

Step-by-step explanation:

If the function f(x) is known to be an even function and we are given the solution point (3, -4) on f(x), we can determine another point on the function. Since f(x) is even, it exhibits symmetry about the y-axis. This means that if the point (3, -4) lies on the function, the point (-3, -4) will also lie on the function.