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the function g(x) is shown on the table. suppose f(x) = −2x + 5. which statement is true when comparing the two functions?
a) f(x) is an increasing function, and g(x) is a decreasing function.
b) g(x) is an increasing function, and f(x) is a decreasing function.
c) both functions are increasing.
d) both functions are decreasing.

Option B) g(x) is an increasing function, and f(x) is a decreasing function.

Step-by-step explanation:

1) we have

This is a linear function

The unit rate or slope is negative

That means ----> Is a decreasing function

2) we have

g(x)

Looking at the table we notice that

The function g(x) is a increasing function, because the y-value increases as the x-value increases

therefore

g(x) is an increasing function, and f(x) is a decreasing function