Exercises: Compare Function Properties

Work through each section in order. When comparing functions, always cite specific values from each representation to support your conclusion.

Grade 9·19 problems·~30 min·Common Core Math - HS Functions·group·hsf-if-c-9

Work through problems with immediate feedback

Fluency Practice

Function A (graph): a downward-opening parabola with vertex at approximately $(3, 6)$ and $y$ -intercept at $(0, -3)$ .

Function B (algebraic): $g(x) = -(x - 1)^2 + 8$ .

Which function has the larger maximum value?

Function A, with a maximum of approximately 6.

Function B, with a maximum of 8.

They have equal maxima.

Function A, because it reaches its maximum at $x = 3$ which is farther right.