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Explanation:

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

Explanation:

frederick william of brandenburg-prussia trained his son, frederick, to be a hardy soldier. but frederick disliked rifle shooting and horseback riding. unlike his father, he was interested in french literature. he enjoyed poetry and music and, like some others of the enlightenment, he scoffed at religion. his father thought him soft, frivolous and unmindful of his duties. and when frederick refused to put his signature on a right to succession, for a few moments his father strangled him.