MathLab with Mr. Ahmed

MathLab with Mr. Ahmed is a math learning website by Ahmed Amasha, a mathematics teacher teaching the American curriculum. Explore Algebra 2, Precalculus, Calculus, and SAT and PSAT Math Prep through lessons, focused practice and printable resources.

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Linear functions (tables)

Question 1 of 3

Know the idea

The table shows four values of xx and their corresponding values of f(x)f(x) for the linear function ff.
xxf(x)f(x)
22−3-3
55−9-9
88−15-15
1111−21-21
What is the value of f(23)f(23)?
Worked example
Each time xx increases by 3,f(x)3, f(x) changes by −6-6, so the slope is −2-2. Using (2,−3)(2, -3): f(x)=−2x+1f(x) = -2x + 1, so f(23)=−45f(23) = -45.
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The table shows four values of xx and their corresponding values of f(x)f(x) for the linear function ff.
xxf(x)f(x)
−1-100
2266
551212
881818
What is the value of f(17)f(17)?