Question

The graph of a constant function F(x) = k is?
A. A straight line parallel to X -axis
B. A straight line parallel to Y-axis
C. A straight line passing through origin
D. None

Answer 1

Hint: As the question mentions that we have to draw the graph of a constant function and we know that a graph of constant function is always a horizontal line. First, we have to draw the graph of the horizontal line. A constant function is a function whose output is the same for every input.

Complete step-by-step answer:
As the question mention that the function f(x) = k is constant
So, the graph of constant function is always a horizontal line and the function is for X axis then the horizontal line is parallel to x axis.
Draw the graph in which first draw the x-axis and y-axis
Now draw a horizontal line which is parallel to x-axis.

Line A is parallel to x-axis in the graph drawn above
Hence the option A (a straight line parallel to x-axis) is the correct answer.

Note: Here students get confused between the word constant. You should know a constant function in a graph is a function whose output or value is the same for every input that is why a graph of a constant function is always a straight line. If the function mentions X axis then in the graph a straight line is parallel to x axis and same as if the function mentions Y axis then the graph shows a straight line parallel to y axis.