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General Information

Related Standards: MAFS.912.A-REI.4.11
Reporting Category: Algebra: Reasoning with Equations & Inequalities
Type: EE: Equation Editor
Difficulty: N/A
Question:

Cora is using successive approximations to estimate a positive solution to f(x)=g(x), where 

f(x)=x²+13 and g(x)=3x+14. The table shows her results for different input values of x.

Use Cora's process to find the positive solution, to the nearest tenth, of f(x)=g(x).

Answer Key:
3.3

Aligned Standards

Code Description
MAFS.912.A-REI.4.11: Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.


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