Page 800 - Algebra 1

Lesson Practice
a.
(Ex 1)
b.
(Ex 2)
c.
(Ex 2)
d.
(Ex 3)
e.
(Ex 4)
Graphy=x3 +1.
Solve 0 = -4x3 by graphing.
Solve 3 = -x3 + 8 by graphing.
Solve x2 - _1 = _1 x3 by graphing on a graphing calculator. 44
The volume of a rectangular prism is represented by the equation V = x3 + 4. Use a graphing calculator to find the volume when
x = 25.5 units.
Practice
Distributed and Integrated
Solve and check.
1.x-2= x-6 2.x-4=x+5
__ __ (99) x+7 3x+21 (99) x+1 2x+2
*3.
(115)
*4.
(115)
*5.
(115)
*6.
(115)
*7.
(115)
*8.
(115)
9.
(114)
*10.
(114)
Graph the cubic function y = _1 x3. Use it to solve the equation 0 = _1 x3. 33
Multiple Choice Which equation represents a cubic function? A y=3x-4y B y=6x2 +2
C y=x3 -4x+1 D y=10x4 +3x2 -5
Capacity The volume of a box is represented by the equation V = x3 - 4. Use a
table or graph to find the value of x that corresponds to a volume of 23 cubic units.
Games The volume of a whiffle ball is represented by the equation V = _4 πr3. Use 3
a graphing calculator to graph the equation and then use the graph to estimate the volume of air in a ball with a radius of 2 inches.
Write Describe the characteristics of the graph of a cubic function.
Formulate Write an example of a cubic function.
Evaluate y = √ 4x - 5 for x = 3. Round to the nearest tenth.
Error Analysis Two students are evaluating the equation y = √ 2x - 5 + 2 for x = 6. Which student is correct? Explain the error.
Student A
y = √ 2 x - 5 + 2
y = √ 2 · 6 - 5 + 2 y = √ 2 + 2
Student B
y = √ 2 x - 5 + 2
y = √2 · 6 - 5 + 2 y = √ 1 2 - 5 + 2
y = √ 7 + 2
Lesson 115 785