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Given the function g(x) = 8x − 2, compare and contrast g(−2) and g(4). Choose the statement that is true concerning these two values.

A.) The value of g(−2) is larger than the value of g(4)
B.) The value of g(−2) is the same as the value of g(4)
C.) The value of g(−2) is smaller than the value of g(4)
D.) The values of g(−2) and g(4) cannot be compared

User Liuyong
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4 votes

Answer:

Option C is correct.

The value of g(-2) is smaller than the value of g(4)

Explanation:

Given the function:
g(x) = 8x -2 ......[1]

Compare and contrast g(-2) and g(4).

find g(-2);

substitute the value of x = -2 in [1] we get;


g(-2) = 8(-2) -2 = -16-2 =-18

Similarly ,

For g(4);

Substitute the value of x = 4 in [1];


g(4) = 8(4) -2 = 32-2 =30

Compare g(-2) and g(4);

g(-2) = -18

g(4) = 30

then; g(-2) < g(4)

As you can see the value of g(4) is larger than the value of g(-2) or in other words, we can say that the value of g(-2) is smaller than the value of g(4)

User Nelson Reis
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