Discover the Path to Mathematical Mastery
An Education That Counts
Discover the Path to Mathematical Mastery
An Education That Counts
Graphs
Graphs
Basics Facts:
Function: \(f(x)=b^x\)
Restriction: \( 0<b,\, b\neq1\)
Domain: \((-\infty, \infty)\)
Range: \((0, \infty)\)
Intercept: \((0,1)\)
Horizontal Asymptote: x-axis, \(\)y=0\(\)
Addition Property
Power Property
Difference Property
Zero Property
Product Property
Product of a Power
Quotient of a Power
Radical Property
Various Properties of Negative Exponents
If \(b^x=y\) then \(log_b(y)=x\)
Graphs
Graphs
Basics Facts:
Function: \(f(x)=log_{b}(x)\)
Restriction: \( 0<b,\, b\neq1\)
Domain: \((0, \infty)\)
Range: \((-\infty,\infty)\)
Intercept: \((1,0)\)
Vertical Asymptote: y-axis, \(x=0\)
Identity
Identity
Product Property
Quotient Property
Exponentiation Property
Power Property
Common Logarithm
Natural Logarithm
Change of Base
[Natural Logarithm]