Which of the following statements is true about the function f(x)=5x+5

Question

a.
The function is an increasing function.

b.
The function is a decreasing function.

c.
The function is a constant function.

d.
It is not a function.

Answer 1

The function \( f(x) = 5x + 5 \) is a linear function.

To determine the nature of the function, we can look at the coefficient of \( x \). In this case, the coefficient is \( 5 \), which is positive. This means that as \( x \) increases, \( f(x) \) also increases.

Therefore, the true statement is:

a. The function is an increasing function.