Example 1
For the given function f and values of a and b, find the slope of the secant line between the points (a, f(a)) and (b, f(b)):
f(x) = x2, a = 1, b = 2.
Example 2
For the given function f and values of a and b, find the slope of the secant line between the points (a, f(a)) and (b, f(b)):
f(x) = x2, a = 1, b = 1.5.
Example 3
For the given function f and values of a and b, find the slope of the secant line between the points (a, f(a)) and (b, f(b)):
f(x) = sin(x), a = 0, b = π/2.
Example 4
For the given function f and values of a and b, find the slope of the secant line between the points (a, f(a)) and (b, f(b)):
f(x) = x3 – 2x + 3, a = 1, b = 4.
Example 5
For the given function f and values of a and b, what is the slope of the secant line between the points (a, f(a)) and (b, f(b))?
f(x) = x4 – 2, a = -2, b = 2.
Example 6
Given the values of a and b, what must h be so that a + h = b?
a = 4, b = 4.25.
Example 7
Given the values of a and b, what must h be so that a + h = b?
a = -1, b = -1.5.
Example 8
For the given function f, value of a, and value of h, what is the slope of the secant line between (a, f(a)) and (a + h, f(a + h))?
f(x) = x2, a = 1, h = 0.1.
Example 9
For the given function f, value of a, and value of h, what's the slope of the secant line between (a, f(a)) and (a + h, f(a + h))?
f(x) = 1 – x2, a = 0, h = 0.1.
Example 10
For the given function f, value of a, and value of h, what's the slope of the secant line between (a, f(a)) and (a + h, f(a + h))?
f(x) = cos(x), a = 0, h = -π/2.
Example 11
For the given function f, value of a, and value of h, what's the slope of the secant line between (a, f(a)) and (a + h, f(a + h))?
f(x) = x3– x, a = 1, h = 4.
Example 12
For the given function f, value of a, and value of h, what's the slope of the secant line between (a, f(a)) and (a + h, f(a + h))?
f(x) = 3x, a = -2,and h = -0.2.