Question

A linear function f(x)=ax+b is a constant function if
​

Answer 1

• A linear function f(x) = ax + b is a constant function if a = 0.

• Linear functions are those functions whose graph gives us a straight line. It is a polynomial function with degree 1 or 0. It is usually represented as y = f(x) = ax + b, where y is the dependent variable and x is the independent variable. Note that f(x) = ax + b is an equation of line in slope-intercept form with slope a.
• A constant function is a function that has the same values over the entire domain of the function. Graphically, it is a straight line parallel to the x-axis. It is generally represented by y = f(x) = k, a constant .
• We can also represent the constant function as a linear function with slope = 0, i.e. y = f(x) = 0.x + b, where a = 0.

∴ A linear function f(x) = ax + b is a constant function if a = 0.

#SPJ3

​