1.6 Parent Functions - Mrs. Garrett's Website · 1.6 Parent Functions What is a linear function?...
Transcript of 1.6 Parent Functions - Mrs. Garrett's Website · 1.6 Parent Functions What is a linear function?...
1.6 Parent Functions
What is a linear function?
Vocab: Linear, constant and identity, squaring , cubic, square root, reciprocal, and step functions, domain, range, even, odd, , intercepts, set, interval, symmetric, evaluate Example 1: Linear a. Constant , looks like f(x)= c
b. Identity , looks like f(x)=x
How to write a linear function
Ex. 2 Write a function rule for f(1)=3 and f(4)=0 Ex. 3 Write a function rule for f(-2)= 4 and f(6)=4
1.6 Parent Functions What is the cubic function?
Example 4: Cubic function a. Looks like f(x)=x³ b. Graph is: Example 5: Square root function
What is the Square root function?
a. Looks like f(x)= √x b. Graph is:
1.6 Parent Functions What is the square/ quadratic function?
Example 6: square function a. Looks like f(x)=x² b. Graph is: Example 7: Reciprocal function What is the
Reciprocal function?
a. Looks like f(x)= 1𝑥 b. Graph is:
1.6 Parent Functions
What is the Absolute value function?
Ex. 8 Looks like f(x)= 𝑥
Graph:
1.6 Parent Functions
What is the greatest Integer function?
Ex. 8 Looks like f(x)=[x]
Graph:
1.6 Parent Functions
What is the greatest integer function?
Ex. 8 It means the greatest integer less than or equal to x. Looks like f(x)=[x]
[-1] = [-.5] = [1/10]= [-2]= [1.9]= Ex. 9 Evaluate f(x)= [x+2] for x= -−32 ,1 , 52
HW problems
• Page 65 • #’s 11-13,19,21,23,27,30,34,46