Back to Prove growth properties of functions — Problem 2 · Task Set 49

HSF.LE.A.1.a Tutor Intake — Linear and Exponential Growth Properties

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Grade 9·12 problems·~15 min·Common Core Math - HS Functions·standard·hsf-le-a-1a

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Procedures

When computing $f(x + d) - f(x)$ for $f(x) = 7x - 2$ , a student writes:
$f(x + d) = 7x + d - 2$
What error did the student make?

The student forgot to subtract $f(x)$ from $f(x + d)$ .

The student did not distribute $7$ over $(x + d)$ ; the correct
expansion is $f(x + d) = 7x + 7d - 2$ .

The student used the wrong sign for the constant term $-2$ .

The student should have squared $(x + d)$ before multiplying by $7$ .