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Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
Function Theory
Watch comprehensive video reviews for Function Theory, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.
Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
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SL Core 2.2
The domain of a function is the set of possible inputs it can be given.
The "natural" or "largest possible" domain of a function is all the values of x for which the expression f(x) is defined.
For example,
cannot take any negative values of x, so its largest possible domain is {x∈R∣x≥0}.
The domain of a function can also be restricted in its definition. For example, we could say
even though x2 is defined for all x.
Because the domain can be arbitrarily restricted, we often say "largest possible domain" to mean all the inputs that work for the expression of the function.
Example
Find the largest possible domain of f(x)=√5−2x.
The domain of f is 5−2x≥0⇒x≤25.
SL Core 2.2
The domain of a function is the set of possible inputs it can be given.
The "natural" or "largest possible" domain of a function is all the values of x for which the expression f(x) is defined.
For example,
cannot take any negative values of x, so its largest possible domain is {x∈R∣x≥0}.
The domain of a function can also be restricted in its definition. For example, we could say
even though x2 is defined for all x.
Because the domain can be arbitrarily restricted, we often say "largest possible domain" to mean all the inputs that work for the expression of the function.
Example
Find the largest possible domain of f(x)=√5−2x.
The domain of f is 5−2x≥0⇒x≤25.