Final answer:
c) It represents the range of values for x where the function is positive.
The interval [2,8] represents the range of values for x where the function f(x) = x² - 10x + 16 is positive.
Step-by-step explanation:
The relevance of the interval [2,8] to the function f(x) = x² - 10x + 16 is that it represents the range of values for x where the function is positive. To determine this, we can analyze the function's graph. The graph of a quadratic function is a parabola, and if the parabola opens upwards (as in this case), the range of values where the function is positive is between the x-values where the parabola intersects the x-axis. In this case, the parabola intersects the x-axis at the points x = 2 and x = 8, so the interval [2,8] represents the range of values for x where the function is positive.