Advanced Math / Nonlinear Functions
Nonlinear Functions
Parameter questions for nonlinear functions may use vertex form, domain restrictions, exponential factors, or input-output conditions.
Least you need to know
- For $f(x)=a(x-h)^2+k$, the vertex is $(h,k)$.
- For $f(x)=ab^x$, $a$ is the initial value and $b$ is the growth or decay factor.
- A radical function's domain is determined by requiring the radicand to be nonnegative.
Key notation
- $a(x-h)^2+k$ — Vertex form of a quadratic function
Worked example
- Use the function's structure or a given function value to write an equation for the parameter.
Common mistakes
- A function's vertex value is an output, not an input.
- The base of an exponential model is a ratio of consecutive outputs.
How to recognize it
- The problem gives a nonlinear function with one unknown parameter.
الدرس المقترح التالي
تابع هذا الموضوع مع Nonlinear Functions and Domain Restrictions.
Nonlinear Functions and Domain Restrictionsدروس ذات صلة
تابع مع دروس قريبة في الموضوع نفسه.