Indietro
Problema 45
Let f(x) = -3x + 4 and g(x) = -x² + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. ƒ(0)
Problema 47
Let f(x) = -3x + 4 and g(x) = -x² + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. g(-2)
Problema 49
Let f(x) = -3x + 4 and g(x) = -x² + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. ƒ(⅓)
Problema 53
Let f(x) = -3x + 4 and g(x) = -x² + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. ƒ(p)
Problema 57
Let f(x) = -3x + 4 and g(x) = -x² + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. ƒ(x + 2)
Problema 61
For each function, find (a) ƒ(2) and (b) ƒ(-1). See Example 7. ƒ = {(-1, 3), (4, 7), (0, 6), (2, 2)}
Problema 62
For each function, find (a) ƒ(2) and (b) ƒ(-1). See Example 7. ƒ = {(2, 5), (3, 9), (-1, 11), (5, 3)}
Problema 65
For each function, find (a) ƒ(2) and (b) ƒ(-1). See Example 7.
Problema 67
Use the graph of y = ƒ(x) to find each function value: (a) ƒ(-2) (b) ƒ(0) (c) ƒ(1) and (d) ƒ(4). See Example 7(d).
Problema 69
Use the graph of y = ƒ(x) to find each function value: (a) ƒ(-2) (b) ƒ(0) (c) ƒ(1) and (d) ƒ(4). See Example 7(d).
Problema 71a
Determine the largest open intervals of the domain over which each function is (a) increasing See Example 8.
Problema 71b
Determine the largest open intervals of the domain over which each function is (b) decreasing. See Example 8.
Problema 71c
Determine the largest open intervals of the domain over which each function is (c) constant. See Example 8.
Problema 75a
Determine the largest open intervals of the domain over which each function is (a) increasing See Example 8.
Problema 75b
Determine the largest open intervals of the domain over which each function is (b) decreasing. See Example 8.
Problema 75c
Determine the largest open intervals of the domain over which each function is (c) constant. See Example 8.
Problema 81
Determine the intervals of the domain over which each function is continuous. See Example 9.
Problema 1
Fill in the blank(s) to correctly complete each sentence.
To graph the function ƒ(x) = x² - 3, shift the graph of y = x² down ___ units.
Problema 3
Fill in the blank(s) to correctly complete each sentence.
The graph of ƒ(x) = (x + 4)² is obtained by shifting the graph of y = x² to the ___ 4 units.
Problema 5
Fill in the blank(s) to correctly complete each sentence.
The graph of ƒ(x) = -√x is a reflection of the graph of y = √x across the ___-axis.
Problema 6
Fill in the blank(s) to correctly complete each sentence.
The graph of ƒ(x) = √-x is a reflection of the graph of y = √x across the ___-axis.
Problema 11
Work each matching problem.
Match each equation in Column I with a description of its graph from Column II as it relates to the graph of y = x².
I II
a. y = (x - 7)² A. a translation to the left 7 units
b. y = x² - 7 B. a translation to the right 7 units
c. y = 7x² C. a translation up 7 units
d. y = (x + 7)² D. a translation down 7 units
e. y = x² + 7 E. a vertical stretching by a factor of 7
Problema 15
Graph each function. See Examples 1 and 2. ƒ(x) = 3|x|
Problema 17
Graph each function. See Examples 1 and 2. ƒ(x) = ⅔ |x|
Problema 19
Graph each function. See Examples 1 and 2. g(x) = 2x²
Problema 21
Graph each function. See Examples 1 and 2. g(x) = ½ x²
Problema 23
Graph each function. See Examples 1 and 2. ƒ(x) = -½ x²
Problema 25
Graph each function. See Examples 1 and 2. ƒ(x) = -3|x|
Problema 27
Graph each function. See Examples 1 and 2. h(x) = |-½ x|
Problema 29
Graph each function. See Examples 1 and 2. h(x) = √4x