Parent Functions
I told you not to go out tonight y=3x-2! You are grounded for 2 weeks! And no computer either!
What is a parent function
• A parent function is the most basic form of a function. It has the same basic properties as others like it but is isn’t moved any direction neither is a stretched or skewed any way
Why do we care?
• Parent functions allow us to quickly tell certain traits of their “children”.
• My parent both have brown eyes and I have brown eyes. Most people could guess the color of my eyes by meeting my parents
The constant
• y = c; f(x) = c• c is some constant number such as 3, 27, 18
million, π or e.
• Domain: all reals; int: (-∞, ∞); ineq: x• Range: c; int: [c,c]; ineq: y = c
Linear (Identity)
• y = x; f(x) = x• Domain: all reals; int: (-∞, ∞); ineq: x• Range: all reals; int: (-∞, ∞); ineq: y
Quadratic
• y = x²; f(x) = x² • Domain: all reals; int: (-∞, ∞); ineq: x• Range: int: [0, ∞); ineq: y ≥ 0
Absolute Value
• y = |x|; f(x) = |x|• Domain: all reals; int: (-∞, ∞); ineq: x• Range: int: [0, ∞); ineq: y ≥ 0
Exponential
• y = ex; f(x) = ex
• Domain: all reals; int: (-∞, ∞); ineq: x• Range: int: [0, ∞); ineq: y ≥ 0
Example
• y = x• Domain: {0, 1, 2}
• Range: _______________________________
• Parent Function:________________________
Example
• f(x) = ½• Domain: {0, 2, 4}
• Range: _______________________________
• Parent Function:________________________
Example
• y = x2
• Domain: {1, 0, 1}
• Range: _______________________________
• Parent Function:________________________
Example
• y = -¾x + 2• Domain: {0, 4, 8}
• Range: _______________________________
• Parent Function:________________________
Top Related