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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
A. f(x) has a greater slope.
B. g(x) has a greater slope.
C. The slopes of f(x) and g(x) are the same.
D. The slope of g(x) is undefined.

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BasketballEinstein

Answer:

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

Explanation:

[tex]\displaystyle 9 = 3[3][/tex]☑

[tex]\displaystyle 6 = 3[2][/tex]☑

[tex]\displaystyle 3 = 3[1][/tex]☑

Therefore we KNOW that the g(x) function ALSO has a rate of change [slope] of 3. With that being said, both functions are parallel, which means they have SIMILAR SLOPES.

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