Final answer:
The linear function with the given values is a horizontal line, and thus it can be represented as f(x) = -4. A function which is not linear is called nonlinear function. In other words, a function which does not form a straight line in a graph.
Step-by-step explanation:
To write a linear function f with the values f(3)=-4 and f(5)=-4, we notice that the function has the same value for different values of x. This implies that the function's graph is a horizontal line, which means its slope is 0. A linear function with a slope of 0 can be written in the form f(x) = b, where b is the y-intercept and it remains constant for all values of x.
Given that f(3)=-4 and f(5)=-4, we can confirm the constant value b to be -4. Therefore, the linear function we are looking for is f(x) = -4.
A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0. Although the linear functions are also represented in terms of calculus as well as linear algebra. The only difference is the function notation. Knowing an ordered pair written in function notation is necessary too. f(a) is called a function, where a is an independent variable in which the function is dependent. Linear Function Graph has a straight line whose expression or formula is given by;
y = f(x) = px + q