Using Functions in Models and Decision Making: Piecewise Defined Functions (assignment)~amdm

1. Which values of x are point(s) of discontinuity? 2. Which are removable discontinuities?

1. - x = -2 - x = 0 - x = 4 2. x = 0 and x = 4

Which statement is true for g(x)?

You can remove the discontinuity at x = 3 by defining g(3) = -1.

Evaluate the function for the indicated values of x. f(-10)= f(2)= f(-5)= f(-1)= f(8)=

f(-10)= -19 f(2)= 4 f(-5)= -9 f(-1)= 1 f(8)= -5

1. What is the domain? 2. What is the range?

1. (negative infinity, infinity) 2. negative infinity, 4)

Compare and contrast the following piecewise defined functions.

What to include: Both functions have the same domain - all real numbers except 0. Both functions are made up of linear and quadratic pieces on their domain. Neither function is continuous; f has jump discontinuity and g has point discontinuity. The range of f is y > 1 and the range of g is all real numbers except 2.

Complete the definition of the h(x) so that it is continuous over its domain. a= b=

a = 0 b = 2

1. What is the domain of f(x)? 2. What is the range of f(x)?

1. (negative infinity, -2) U (-2, infinity) 2. (-4, infinity)

Over which part of the domain is the piecewise function defined as f(x) = 0.05x - 300?

for income 15,000 < or = to x < or = to 40,000

Which rule describes the function whose graph is shown?

the second rule g(x)

Which values of x are point(s) of discontinuity for this function?

x = 0 and x = 2