f(x)= -|x| + 4

1. define the key features of the graph of the provided absolute value function

2. provide the coordinate of the vertex and two additional points on the graph

3. use the coordinates of the functions vertex to prove the domain and range of this function

A modulus function is a function which gives the absolute value of a number or variable. It produces the magnitude of the number of variables. It is also termed as an absolute value function.

Here, f(x) = - |x| + 4

Domain of f(x) = Real Number

Range of f(x) ; f(x) ≤ 4

y ∈ [-∞, 4]

Key features:

1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but reflected in the x-axis.

2. The +4 moves the function vertically 4 units upwards.

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f(x)= -|x| + 41. define the key features of the graph of the provided absolute value function 2. provide the coordinate of the vertex and two additional points on the graph 3. use the coordinates of the functions vertex to prove the domain and range of this function

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What is Modulus function?

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f(x)= -|x| + 4

1. define the key features of the graph of the provided absolute value function

2. provide the coordinate of the vertex and two additional points on the graph

3. use the coordinates of the functions vertex to prove the domain and range of this function