Compare two functions represented in different ways: equations, graphs, tables, or verbal descriptions.
Compare intercepts of two functions
Problem
Compare the intercepts of two functions: \(f(x)=2x+6\) and \(g(x)=x+3\).
Big Picture
What this problem is really about
The two kinds of intercept answer opposite questions: a y-intercept fixes the input at zero, while an x-intercept fixes the output at zero. We’ll apply those conditions to both functions and record each result as a point. Then we can compare y-intercepts with y-intercepts and x-intercepts with x-intercepts without swapping their roles.
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