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Comparing Functions Across Representations
Worksheet
Grade Level
Algebra II
ALG2.67 Comparing Functions Across Representations
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Function A is shown in the table: x: 0, 1, 2, 3; f(x): 3, 6, 12, 24. Function B is g(x) = 4x + 5. Which statement best compares the functions?
A
Function A starts smaller, but by x = 3 it is larger and is growing faster
B
Function B starts smaller, but by x = 3 it is larger and is growing faster
C
Function A and Function B have the same initial value and the same output at x = 3
D
Function B starts larger and remains larger because linear growth always beats doubling
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