Algebra/Chapter 8/Exercises

Exercises

Section 8.1

8.1 (Evaluating a Piecewise Function I) For the function f(x), find the following values.

8.2 (Evaluating a Piecewise Function II) For the function g(x), find the following values.

8.3 (Evaluating a Piecewise Function III) For the function h(x), find the following values.

8.4 (Evaluating a Piecewise Function IV) For the function i(x), find the following values.

8.5 (Evaluating a Piecewise Function V) For the function j(x), find the following values.

8.6 (Evaluating a Piecewise Function VI) For the function k(x), find the following values.

8.7 (Graphing Piecewise Functions) Graph the following piecewise functions.

8.8 (Domain and Range) Write the domain and range of the functions from Problem 8.7 in interval notation.

8.9 (Continuity) Determine if the following piecewise functions are continuous.

8.10 (Cell Phones) A cellphone company offers two plans.

Reason and Apply

8.11 (Continuity) Determine the value(s) of k which makes the following piecewise function continuous.

function:

$$f(x)={\begin{cases}3x+2,&{\text{if }}x<k\\2x-3,&{\text{if }}k\leq x\leq 8\end{cases}}$$

8.12 (GIF and LIF Equation) Find the range of values for x such that

⌊x⌈x⌉⌋ = 2000

Express your answer in interval notation.