Two-variable data: Models and scatterplots

Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ

Which of the following is true about the values of $2 to the x power$ and $2 x plus 2$ for $x greater than 0$ ?

A
For all $x greater than 0$ , it is true that $2 to the x power, is less than 2 x plus 2$ .
B
For all $x greater than 0$ , it is true that $2 to the x power, is greater than 2 x plus 2$ .
C
There is a constant c such that if $0 is less than x, which is less than c$ , then $2 to the x power, is less than 2 x plus 2$ , but if $x is greater than c$ , then $2 to the x power, is greater than 2 x plus 2$ .
D
There is a constant c such that if $0 is less than x, which is less than c$ , then $2 to the x power, is greater than 2 x plus 2$ , but if $x is greater than c$ , then $2 to the x power, is less than 2 x plus 2$ .

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id cb_question_bank:2edeac8c-7b7f-4af8-aa83-b033b803c8bd · question 9a144a01 · IBN 031669-DC · JSON