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