Compare two functions represented in different ways: equations, graphs, tables, or verbal descriptions.
Compare linear functions by slope and y-intercept
Problem
Compare the linear functions \(f(x)=2x+5\) and \(g(x)=4x+1\) by slope and intercept.
Big Picture
What this problem is really about
Comparing linear functions means keeping two features in separate lanes: slope measures change, while the y-intercept measures the starting height. Because both rules are already in slope-intercept form, we can read each pair of values directly. We’ll compare slopes with slopes and intercepts with intercepts so the roles never get crossed.
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