Question

Which functions could be represented by the graph? Check all that apply.

f(x) = | x + 0.14|
f(x) = |x| + 1.3
f(x) = |x – 7|
f(x) = |x + 12|
f(x) = |x| – 17
f(x) = |x – 23|

Answer 1

Answer:

f(x)=1 x + 0.141

because of the diagram a found it out

Answer 2

The functions  f(x) = |x - 7| and f(x) = |x - 23| can be represented by the graph shown in the question.

Note: The answer is given by assuming the right side of origin as positive x-axis and the left side as negative x-axis.

• From the graph, it is clear that whatever be the value of x(positive or negative), the function f(x) will always be positive.
• Moreover, the x-axis is also shifted to the right. This imples that the function is of the form f(x) = |x - n|, where n is any number.
• Since, no scale is provided for the graph, we can only approximate the answer.
• For f(x) = |x| - 17, for values of x less than 17, the function f(x) will become negative.
• For all the other given functions, f(x) is always positive, whatever be the value of x.
• However, only for f(x) = |x - 7| and f(x) = |x - 23|, the graph is shifted to the right.
• Thus, the functions  f(x) = |x - 7| and f(x) = |x - 23| can be represented by the graph shown in the question.