Lial - College Algebra 13th Edition

Ch. 2 - Graphs and Functions

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Lial 13th Edition

Ch. 2 - Graphs and Functions

Problem 34b

Use the graph to evaluate each expression. See Example 3(a).

(ƒ-g)(-1)

Problem 34c

Use the graph to evaluate each expression. See Example 3(a).

(ƒg)(1)

Problem 34d

Use the graph to evaluate each expression. See Example 3(a).

(ƒ/g)(2)

Problem 35

Find the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint. See Example 5(b).

midpoint $open paren 5 comma 8 close paren$ , endpoint $open paren 13 comma 10 close paren$

Problem 35

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

Problem 36

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x=y⁴

Problem 37

Find the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint. See Example 5(b).

midpoint $open paren 12 comma 6 close paren$ , endpoint $open paren 19 comma 16 close paren$

Problem 37

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

Problem 38

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-6x+4

Problem 39

Plot each point, and then plot the points that are symmetric to the given point with respect to the (a) x-axis, (b) y-axis, and (c) origin. (5, -3)

Problem 39

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

Problem 39

Graph each equation. 2x +5y = 20

Problem 40

Find the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint. See Example 5(b).

midpoint $open paren 6 a comma 6 b close paren$ , endpoint $open paren 3 a comma 5 b close paren$

Problem 40

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x-y<4

Problem 41

Plot each point, and then plot the points that are symmetric to the given point with respect to the (a) x-axis, (b) y-axis, and (c) origin. (-4, -2)

Problem 41

Find the slope and y-intercept of each line, and graph it. x+2y = -4

Problem 42

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-√x

Problem 42

Graph each equation.

$x - 4 y = 8$

Problem 43

The graph of y=|x-2| is symmetric with respect to a vertical line. What is the equation of that line?

Problem 43

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=2-x

Problem 44

Find the value of the function for the given value of x. See Example 3. ƒ(x)=[[0.5x]], for x=7

Problem 44

Graph each equation.

$f with hook x equals 3$

Problem 45

Without graphing, determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. See Examples 3 and 4. y=x^2+5

Problem 45

Find the value of the function for the given value of x. See Example 3. ƒ(x)=-[[-x]], for x=2.5

Problem 45

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=6x+2

Problem 45

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=√(4x+1)

Problem 46

Find the value of the function for the given value of x. See Example 3. ƒ(x)=2-[[-x]], for x=3.7

Problem 46

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=√(7-2x)

Problem 46

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4.

$ƒ (x) = 4 x + 11$

Problem 47

Without graphing, determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. See Examples 3 and 4. x^2+y^2=12