2nd Test - Parent Functions
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The document discusses parent functions and provides examples of common parent functions including constant, linear, quadratic, absolute value, and exponential functions. It defines a parent function as the basic form of a function type and explains that parent functions allow us to determine traits of related functions. The document then lists the domain, range, and interval notation for each parent function type. It concludes by providing examples of functions and asking the reader to identify their parent function and range.
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![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](https://image.slidesharecdn.com/day1-parentfunctionsppt-090924211411-phpapp02/85/2nd-Test-Parent-Functions-4-320.jpg)
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2nd Test - Parent Functions
- 1. Parent Functions I told you not to go out tonight y=3x-2! You are grounded for 2 weeks! And no computer either!
- 2. 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
- 3. 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
- 4. 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
- 5. Linear (Identity) y = x; f(x) = x Domain: all reals; int: (-∞, ∞); ineq: x Range: all reals; int: (-∞, ∞); ineq: y
- 6. Quadratic y = x²; f(x) = x² Domain: all reals; int: (-∞, ∞); ineq: x Range: int: [0, ∞); ineq: y ≥ 0
- 7. Absolute Value y = |x|; f(x) = |x| Domain: all reals; int: (-∞, ∞); ineq: x Range: int: [0, ∞); ineq: y ≥ 0
- 8. Exponential y = e x ; f(x) = e x Domain: all reals; int: (-∞, ∞); ineq: x Range: int: [0, ∞); ineq: y ≥ 0
- 9. Example y = x Domain: {0, 1, 2} Range: _______________________________ Parent Function:________________________
- 10. Example f ( x ) = ½ Domain: {0, 2, 4} Range: _______________________________ Parent Function:________________________
- 11. Example y = x 2 Domain: { 1, 0, 1} Range: _______________________________ Parent Function:________________________
- 12. Example y = -¾ x + 2 Domain: {0, 4, 8} Range: _______________________________ Parent Function:________________________