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HSA.REI.D.11 Tutor Intake — Intersections as Solutions

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Grade 9·7 problems·~11 min·Common Core Math - HS Algebra·standard·hsa-rei-d-11

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Concepts

The graphs of $y = f(x)$ and $y = g(x)$ intersect at the point $(3, 5)$ .

What does this tell us about the equation $f(x) = g(x)$ ?

$x = 5$ is a solution to $f(x) = g(x)$ , because $5$ is the
$y$ -coordinate.

$x = 3$ is a solution to $f(x) = g(x)$ , because at $x = 3$ both
functions have the same output value.

$(3, 5)$ is the solution to $f(x) = g(x)$ .

$y = 5$ is the solution to $f(x) = g(x)$ .