Which of the following functions has a graph that is a line?
f(x) = x
f(x) = x 2
f(x) = |x|

In geometry, a line is straight (no curves) and has no thickness,. This extends in both directions without end, that is, infinitely. We need to find from the options the graph of a line, recall that a function from a set to a set is a relation that assigns to each element in the set exactly one element in the set . The set is the domain (also called the set of inputs) of the function and the set contains the range (also called the set of outputs).

Therefore, the right option is as illustrated in the Figure below.

f(x) =x

Step-by-step explanation:

Given are three functions of x

We have to find the function whose graph is a straight line

We know that a straight line has constant slope throughout its domain

Let us check with this

I function

Differentiate to find the slope

Slope =1 = constant

Hence this is a straight line

2 function

Thus slope depends on the value of x and not a constant.  This cannot be a straight line

3 function

This function has slope 1 for positive x and -1 for negative x

Since not constant cannot be a straight line

So answer is option A

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step-by-step explanation: