2016­3­1 graph cube and square roots.notebook
March 02, 2016
Today is Tues
3/1
Do Now:
-Take out HW
-Take calculator and notes
-Short quiz tomorrow on
transformations of quadratics
1
g(x) = ­2(x + 5)2 ­ 3
2
g(x) = 8(x ­ 6.25)2 + 2.5
3
c
a
b
d
2016­3­1 graph cube and square roots.notebook
March 02, 2016
Lesson 3 Graphing Cubic, Square Root and
Cube Root Functions
Student Outcomes:
To compare the basic quadratic parent
function y = x2 to the square root function,
the cubic and the cube root function.
(Include Sketching Graphs/Constraints on
Domain and Range)
Warmup
1. Evaluate x2 when x = 7
2. Evaluate x when x = 81
3. Evaluate x3 when x = 5
3
4. Evaluate x when x = 27
Hit "Math" than "4" on calculator
2016­3­1 graph cube and square roots.notebook
March 02, 2016
Exercise 1: Graphing x2 and x
Create a data table for the functions y = x2 and
(Round decimal answers to the nearest hundredth.) y = x .
x
­4
­2
­1
0
1
2
4
x2
x
2016­3­1 graph cube and square roots.notebook
March 02, 2016
Discuss...
What do you notice about the values in the two y-columns?
Why are all the values for y = x2 positive?
Why do all negative x values produce an ERROR for
What is the domain of y = x2 and y = x ?
What is the range of y = x2 and y = x ?
Graph both functions
x ?
2016­3­1 graph cube and square roots.notebook
March 02, 2016
Exercise 2: Graphing x3 and x
3
Create a data table for the functions y = x3 and
3
(Round decimal answers to the nearest hundredth.) y = x .
2016­3­1 graph cube and square roots.notebook
March 02, 2016
Graph on the same set of axes.
Summary
x2
Domain: (∞, ∞)
Range: [0, ∞)
x
Domain: [0, ∞)
Range: [0, ∞)
x3
3
x
Domain: (∞, ∞)
Domain: (∞, ∞)
Range: (∞, ∞)
Range: (∞, ∞)
2016­3­1 graph cube and square roots.notebook
March 02, 2016