Illustrative Math - Algebra 1 - Unit 6 - Lesson 4 - Formative Library | Library

Create a table of values to show that the exponential expression 3(2)^{x} eventually overtakes the quadratic expression 3x^{2}+2x.

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The table shows the values of 4^{x} and 100x^{2} for some values of x.

Use the patterns in the table to explain why eventually the values of the exponential expression 4^{x} will overtake the values of the quadratic expression 100x^{2}.

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This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 4. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/6/4/index.html ; accessed 26/July/2021.

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Illustrative Math - Algebra 1 - Unit 6 - Lesson 4

Create a table of values to show that the exponential expression 3(2)^{x} eventually overtakes the quadratic expression 3x^{2}+2x.

The table shows the values of 4^{x} and 100x^{2} for some values of x.Use the patterns in the table to explain why eventually the values of the exponential expression 4^{x} will overtake the values of the quadratic expression 100x^{2}.

The table shows the values of 4^{x} and 100x^{2} for some values of x.

Use the patterns in the table to explain why eventually the values of the exponential expression 4^{x} will overtake the values of the quadratic expression 100x^{2}.