Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
Maintaining Mathematical Proficiency
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Exercise 11 Page 215

Sketch the information you get from the exercise in a coordinate plane.

(a,b) is the point where g and h intersect

Practice makes perfect
We know that the value of both functions at x=a is b. We also know that they have different slopes. Let's plot the arbitrary point (a,b) on a coordinate plane and graph any two lines with different slopes that meet at (a,b).

We can see that the point (a,b) is where the lines intersect.