Question

Which function is increasing on the interval?
1) h(x) = 2x - 1
2) j(x) = x² - 8x + 1

Answer 1

Function h(x) = 2x - 1 and function j(x) = x² - 8x + 1 are both increasing on the interval.

Step-by-step explanation:

To determine which function is increasing on an interval, we need to analyze the slope of each function. If the slope is positive, the function is increasing. If the slope is negative, the function is decreasing.

1) The function h(x) = 2x - 1 has a slope of 2, which is positive. Therefore, it is increasing on the interval.

2) The function j(x) = x² - 8x + 1 can be rewritten as j(x) = (x - 4)² - 15. This function is in the form of a quadratic with a positive coefficient for the squared term, so it opens upward and has a minimum point. Therefore, it is increasing on the interval.