contestada

rowan wants to justify that f(x) 3x-7 is a linear function. If she evaluates f(x) for consecutive integer values, which statement justices the claim that f is a linear function?
a. there is a common difference of -7 for f(x) when x increase by 1
b. there is a common factor of -7 for f(x) when x increase by 1
c. there is a common different of 3 for f(x) when x increase by 1
d. there is a common factor of 3 for f(x) when x increase by 1

Respuesta :

19allenethm

Answer:

C. there is a common difference of 3 for f(x) when x increases by 1

Step-by-step explanation:

As 3 is the slope of this function, there will be a common difference of 3 when x increases by 1.

a5904640

f(x) = 3x  - 7

Let's think, whenever we add 1 to x it i'll increase 3 in the result

f(0) = 3.0 - 7 = 0 - 7 = -7

f(1) = 3.1 - 7 = 3 - 7 = -4

f(2) = 3.2 - 7 = 6 - 7 = -1

So we can know that there's a common difference of 3 for f(x) when x increase by 1.

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