Back to Explain intersection as solution — Problem 3 · Task Set 52

Exercises: Graph Intersections as Solutions

For graphical problems, identify the x-coordinate of each intersection as the solution. Always verify by substituting back into both sides of the original equation. Use graphing technology (Desmos or graphing calculator) where indicated.

Grade 9·18 problems·~40 min·Common Core Math - HS Algebra·standard·hsa-rei-d-11

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Fluency Practice

A student graphs $y = x^2$ and $y = 4$ on the same axes. How many solutions does $x^2 = 4$ have, and what are they?

One solution: $x = 2$

Two solutions: $x = 2$ and $x = -2$

No solutions, because a parabola and a horizontal line cannot intersect.

One solution: $x = 4$