Lial - College Algebra 13th Edition - 3장

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Ch. 2 - Graphs and Functions

모든 교과서

Lial 13th Edition

Ch. 2 - Graphs and Functions

Section 2.6

문제 14

Determine the intervals of the domain over which each function is continuous.

문제 15

Determine the intervals of the domain over which each function is continuous.

문제 16

Determine the intervals of the domain over which each function is continuous.

문제 19

For each piecewise-defined function, find (a) ƒ(-5), (b) ƒ(-1), (c) ƒ(0), and (d) ƒ(3).

$f (x) = {\begin{matrix} 2 + x & if x < - 4 \\ - x & if - 4 \leq x \leq 2 \\ 3 x & if x > 2 \end{matrix}$

문제 21

Graph each piecewise-defined function.

$f (x) = {\begin{matrix} x - 1 & if x \leq 3 \\ 2 & if x > 3 \end{matrix}$

문제 22

Graph each piecewise-defined function.

$f (x) = {\begin{matrix} 6 - x & if x \leq 3 \\ 3 & if x > 3 \end{matrix}$

문제 23

Graph each piecewise-defined function.

$f (x) = {\begin{matrix} 4 - x & if x < 2 \\ 1 + 2 x & if x \geq 2 \end{matrix}$

문제 24

Graph each piecewise-defined function.

$f (x) = {\begin{matrix} 2 x + 1 & if x \geq 0 \\ x & if x < 0 \end{matrix}$

문제 25

Graph each piecewise-defined function.

$f (x) = {\begin{matrix} - 3 & if x \leq 1 \\ - 1 & if x > 1 \end{matrix}$

문제 28

Graph each piecewise-defined function.

$f (x) = {\begin{matrix} - 2 x & if x < - 3 \\ 3 x - 1 & if - 3 \leq x \leq 2 \\ - 4 x & if x > 2 \end{matrix}$

문제 29

Graph each piecewise-defined function.

$f (x) = {\begin{matrix} - \frac{1}{2} x^{2} + 2 & if x \leq 2 \\ \frac{1}{2} x & if x > 2 \end{matrix}$

문제 30

Graph each piecewise-defined function.

$f (x) = {\begin{matrix} x^{3} + 5 & if x \leq 0 \\ - x^{2} & if x > 0 \end{matrix}$

문제 35

Give a rule for each piecewise-defined function. Also give the domain and range.

문제 37

Give a rule for each piecewise-defined function. Also give the domain and range.

문제 39

Give a rule for each piecewise-defined function. Also give the domain and range.

문제 41

Give a rule for each piecewise-defined function. Also give the domain and range.

문제 44

Find the value of the function for the given value of x. ƒ(x)=[[0.5x]], for x=7

문제 45

Find the value of the function for the given value of x. ƒ(x)=-[[-x]], for x=2.5

문제 46

Find the value of the function for the given value of x. ƒ(x)=2-[[-x]], for x=3.7

문제 47

Find the value of the function for the given value of x. ƒ(x)=[[x/4]], for x=7

문제 48

Find the value of the function for the given value of x. ƒ(x)=[[3-(x/2)]], for x=1

문제 49

Find the value of the function for the given value of x. ƒ(x)=[[x]], for x=(-π)

문제 50

Find the value of the function for the given value of x. ƒ(x)=[[x]], for x=-√2

문제 51

Find the value of the function for the given value of x.

$f (x) = {\begin{matrix} 5 & if 0 < x \leq 2 \\ 20 - 3 [[2 - 4 x]] & if x > 2 \end{matrix}, for x = 5.6$

문제 52

Find the value of the function for the given value of x.

$f (x) = {\begin{matrix} 3 & if 0 < x \leq 4 \\ 10 - 2 [[5 - x]] & if x > 4, for \end{matrix}, for x = 6.2$

문제 54

Graph each function. Give the domain and range. ƒ(x)=-[[x]]

문제 55

Graph each function. Give the domain and range. ƒ(x)=[[2x]]

문제 56

Graph each function. Give the domain and range. g(x)=[[2x-1]]

Section 2.7

문제 17

Graph each function. See Examples 1 and 2. ƒ(x)=3|x|

문제 19

Graph each function. See Examples 1 and 2. ƒ(x)=2/3|x|