F(x)= -|x| + 4
1 answer:
The Domain of f(x) is real number and the range is y ∈ [-∞, 4].
<h3>What is Modulus function?</h3>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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Answer:
Identity (a) can be re-written as
which we already proven in another question, while for idenity (b)
step A is simply expressing each function in terms of sine and cosine.
step B is adding the terms on the LHS while multiplying the one on RHS.
step C is replacing the term on the numerator with the equivalent from the pithagorean identity