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Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.

There are many types of functions in mathematics such as :

Linear Function → f(x) = ax + b

Quadratic Function → f(x) = ax² + bx + c

Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x

Logarithmic function → f(x) = ln x

Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...

If function f : x → y , then inverse function f⁻¹ : y → x

Let us now tackle the problem!

Given:

→ Translation of 2 units to the right from graph f(x)

→ Translation of 7 units up from graph h(x)

Therefore , Tia's description of the translations is not correct. Tia should state that the graph of g(x) = ( x - 2 )³ + 7 is a translation of 2 units to the right and 7 units up from f(x) = x³.

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Inverse of Function :

Rate of Change :

Graph of Function :

Answer details

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic

Step-by-step explanation:

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