Given the function f (x) = 3x + 6 and g (x), which function has a greater slope? x g (x) 1 3 2 6 3 9 f (x) has a greater slope. g (x) has a greater slope. The slopes of f (x) and g (x) are the same. The slope of g (x) is undefined.

Question

Juliette

Mathematics

25 November, 08:09

Given the function f (x) = 3x + 6 and g (x), which function has a greater slope? x g (x) 1 3 2 6 3 9 f (x) has a greater slope. g (x) has a greater slope. The slopes of f (x) and g (x) are the same. The slope of g (x) is undefined.

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Answers (1)

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Randy Kane · Answer 1

The slopes of f (x) and g (x) are the same

Step-by-step explanation:

The slope of g (x) is ...

slope = (change in g) / (change in x) = (6-3) / (2-1) = 3/1 = 3

The slope of f (x) is the coefficient of x, which is 3.

The slopes of f (x) and g (x) are the same: both are 3.