12 basic functions -8/15/25
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12 Terms
Identity
f(x)=x
slope goes through (0,0)
Domain: all real numbers
Range: all real numbers
quadratic
f(x)=x²
vertex (0,0)
Domain: all real numbers
Range: [0, ∞)
cubic function
f(x)=x³
goes through (0,0)
Domain: all real numbers
Range: all real numbers
reciprical
f(x)=1/x
Domain: (-∞,0)U(0,∞)
Range: (-∞,0)U(0,∞)
square root
f(x)=√x
goes through (0,0)
Domain: [0,∞)
Range: [0,∞)
exponential
f(x)=e^x
Domain: all real numbers
Range: (0,∞)
Horizontal asymptote: y=0
natural log
f(x)=ln(x)
domain: (0,∞)
range: all real numbers
vertical asymptote: x=0
sine
f(x)=sinx
goes through (0,0)
domain: all real numbers
range: [-1,1]
![<p>f(x)=sinx</p><p>goes through (0,0)</p><p>domain: all real numbers</p><p>range: [-1,1]</p>](https://knowt-user-attachments.s3.amazonaws.com/ca2bc11f-3649-42e4-8191-d291c41c719e.jpg)
cosine
f(x)=cosx
domain: all real numbers
range: [-1,1]
![<p>f(x)=cosx</p><p>domain: all real numbers</p><p>range: [-1,1]</p>](https://knowt-user-attachments.s3.amazonaws.com/7d24c3c8-1cc1-4e35-8680-e160e2d98d08.jpg)
absolute value
f(x)=|x|
vertex: (0,0)
domain: all real numbers
range: [0,∞)
logistic
f(x)=1/1+e^-x
Domain: all real numbers
range: (0,1)
Horizontal asymptote: y=0
step function
f(x)=[[x]]
f(1)=1
f(1.8)=1
f(1.999)=1
f(2)=2
Domain: all real numbers
range: Z (integers)
![<p>f(x)=[[x]]</p><p>f(1)=1</p><p>f(1.8)=1</p><p>f(1.999)=1</p><p>f(2)=2</p><p>Domain: all real numbers</p><p>range: Z (integers)</p>](https://knowt-user-attachments.s3.amazonaws.com/ed543ba1-f45d-4225-9809-77e2cdd76d80.jpg)
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Flashcards (52)