when i graph the function f(x)=|3x-4| i get a curve instead of a line why?

when i graph the function f(x)=|3x-4| i get a curve instead of a line why?

Answer

Solution

Step 1 of 4

f(x)=|3x-4|

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The function does not have any undefined value.
So, the domain of the function will be -<

Step 2 of 4

Let us assume that x= -2

f(x)=|3*(-2)-4|=|-6-4|=|-10|=10
The point will be (-2, 10).
Now, assume x=2

f(x)=|3*(2)-4|=|6-4|=|2|=2
The point will be (2, 2).
For every negative value, we get the positive value.
Hence, the range of absolute function will be y0

Step 3 of 4

Graph of the function

Step 4 of 4

For finding the x-intercept, y=0

0=|3x-4|3x-4=0 or -(3x-4)=03x-4=0

x=43
Hence, the x-intercept point will be (43, 0)
For finding the y-intercept, x=0

y=|3(0)-4|=|-4|= 4
Hence, the y-intercept point will be (0, 4)