Back
Problem 24
For each graph, determine whether y is a function of x. Give the domain and range of each relation.
- Graph each function. See Examples 1 and 2. ƒ(x)=-(1/2)x^2
Problem 25
Problem 25
Determine whether each equation defines y as a function of x. y = 6 -x2
- Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. horizontal, through (-7,4)
Problem 25
Problem 25
Graph each piecewise-defined function. See Example 2. ƒ(x)={-3 if x≤1, -1 if x>1
Problem 26
Determine whether the three points are the vertices of a right triangle. See Example 3.
Problem 26
Determine whether each equation defines y as a function of x. x = (1/3)(y2)
- Graph each function. See Examples 1 and 2. ƒ(x)=-3|x|
Problem 27
Problem 27
Determine whether each relation defines a function, and give the domain and range. See Examples 1–4.
Problem 27
Determine whether each equation defines y as a function of x. y = ±√(x-2)
- Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. m=5, b=15
Problem 27
Problem 28
Determine whether each relation defines a function, and give the domain and range. See Examples 1–4.
Problem 28
Graph each piecewise-defined function. See Example 2. ƒ(x)={-2x if x<-3, 3x-1 if -3≤x≤2, -4x if x>2
Problem 29
Graph each function. See Examples 1 and 2. h(x)=|-(1/2)x|
Problem 29
Determine whether each relation defines a function, and give the domain and range. See Examples 1–4.
Problem 29
Graph each piecewise-defined function. See Example 2. ƒ(x)={-(1/2)x^2+2 if x≤2, (1/2)x if x>2
Problem 30
Determine whether each relation defines a function, and give the domain and range. See Examples 1–4.
Problem 30
Graph each piecewise-defined function. See Example 2. ƒ(x)={x^3+5 if x≤0, -x^2 if x<0
- Match each equation with the sketch that most closely resembles its graph. y = 5
Problem 31
- Graph each function. See Examples 1 and 2. h(x)=√(4x)
Problem 31
- Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. slope 0, y-intercept (0, 3/2)
Problem 31
Problem 31
Determine whether each relation defines a function, and give the domain and range. See Examples 1–4.
Problem 32
Determine whether each relation defines a function, and give the domain and range. See Examples 1–4.
Problem 33
Graph each function. See Examples 1 and 2. ƒ(x)=-√-x
Problem 33a
Use the graph to evaluate each expression. See Example 3(a).
(ƒ+g)(2)
Problem 33b
Use the graph to evaluate each expression. See Example 3(a).
(ƒ-g)(1)
Problem 33c
Use the graph to evaluate each expression. See Example 3(a).
(ƒg)(0)
Problem 33d
Use the graph to evaluate each expression. See Example 3(a).
(ƒ/g)(1)
Problem 34
Let ƒ(x) = -2x2 + 3x -6. Find each of the following. ƒ(-0.5)
Problem 34a
Use the graph to evaluate each expression. See Example 3(a).
(ƒ+g)(0)
