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Identifying range of polynomial functions

Is the sentence true or false?

The range of f(x)=4x2+9f(x)=4x^2+9 is [9,∞).

What is the range of polynomial function f(x)=3f(x)=3 ?

What is the range of quadratic function g(x)=x2+1g(x)=x^2+1 ?

What is the range of cubic function?

Is the sentence true or false?

The range of g(x)=8x2+xg(x)=8x^2+x is set of real numbers.

What is the range of f(x)=5x+2f(x)=5x+2 ?

What is the range of linear function f(x)=3x+1f(x)=3x+1 ?

What is the range of g(x)=3x2+6g(x)=3x^2+6 ?

What is the range of f(x)=3x+9f(x)=3x+9?

What is the range of f(x)=2f(x)=2?