Answer:
1)
2) Use the difference quotient equation to substitute x and h values.
3) 5
4) Graph f(x) = 2x^2 + 3x, with a secant line through the points (2, 2) and (2, 2.52)
5) 5, this is the rate of change as x = 2.
6) As h approaches 0 the secant line becomes more accurate to the rate of change at a point.
Explanation:
1) Create difference quotient formula derived from the slope formula.
2) Substitute values in
3) As you substitute values in and h approaches 0 the rate of change approaches 5.
4) Secant line through ( 2, f(2) and (2.1, f(2.1)
5) The slope of the secant line or rate of change as h approaches 0.
6) As h approaches 0 the secant line becomes more accurate to the actual rate of change at x = 2.