Sums and Products of Functions (VCE SSCE Mathematical Methods): Quizzes

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Sums and Products of Functions
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What is the formal definition of the sum of two functions ff and gg?

(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)

What is the formal definition of the product of two functions ff and gg?

(fg)(x)=f(x)⋅g(x)(fg)(x) = f(x) \cdot g(x)

What is the domain of (f+g)(f + g) in terms of the domains of ff and gg?

Intersection of the individual domains

In graphing, what does the term 'ordinate' mean?

The yy-value of a point on a graph

If f(x)=0f(x) = 0 at some point, what does (f+g)(x)(f + g)(x) equal at that point?

g(x)g(x)

If both f(x)f(x) and g(x)g(x) are positive, where is (f+g)(x)(f + g)(x) relative to the individual graphs?

Above both graphs

If f(x)=x−2f(x) = \sqrt{x - 2} for x≥2x \geq 2 and g(x)=4−xg(x) = \sqrt{4 - x} for x≤4x \leq 4, what is dom(f+g)(f + g)?

[2,4][2, 4]

Given f(x)=x−2f(x) = \sqrt{x - 2} and g(x)=4−xg(x) = \sqrt{4 - x}, what is (f+g)(3)(f + g)(3)?

22

If both f(x)f(x) and g(x)g(x) are negative, where is (f+g)(x)(f + g)(x) relative to the individual graphs?

Below both graphs

If f(x)f(x) is positive and g(x)g(x) is negative, where is (f+g)(x)(f + g)(x) located?

Between the two graphs

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Relations, Domain and Range

One-to-One Functions and Implied Domains

Piecewise-Defined Functions

Applying Function Notation

Set Notation and Sets of Numbers

Sums and Products of Functions

Composite Functions

Inverse Functions

Power Functions

Applications of Functions

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Power Functions

Applications of Functions

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Relations, Domain and Range

One-to-One Functions and Implied Domains

Piecewise-Defined Functions

Applying Function Notation

Set Notation and Sets of Numbers

Sums and Products of Functions

Composite Functions

Inverse Functions

Power Functions

Applications of Functions

Show more

Power Functions

Applications of Functions

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Relations, Domain and Range

One-to-One Functions and Implied Domains

Piecewise-Defined Functions

Applying Function Notation

Set Notation and Sets of Numbers

Sums and Products of Functions

Composite Functions

Inverse Functions

Power Functions

Applications of Functions

Show more

Power Functions

Applications of Functions

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Relations, Domain and Range

One-to-One Functions and Implied Domains

Piecewise-Defined Functions

Applying Function Notation

Set Notation and Sets of Numbers

Sums and Products of Functions

Composite Functions

Inverse Functions

Power Functions

Applications of Functions

Show more

Power Functions

Applications of Functions

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