F(x) = 73 +11 - 8 g(x) = -2 Find (f - 3)(x).
2 answers:
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<h2>Answer:</h2>
The tangent, cotangent, and cosecant functions are odd , so the graphs of these functions have symmetry with respect to the:
Origin.
<h2>Step-by-step explanation:</h2>A function f(x) is said to be a odd function if:
Also, an odd function always has a symmetry with respect to the origin.
whereas a function f(x) is said to be a even function if:
Also, an even function has a symmetry with respect to the y-axis.
We know that:
Tangent function, cotangent function and cosecant function are odd functions.
Since,
( similarly sine function is also an odd function.
whereas cosine and secant function are even functions )
<em>Hence, the graph of tangent function, cotangent function and cosecant function is symmetric about the origin.</em>
domain represents the x values so for example in a diagonal line that continues infinitely, the domain is all real numbers or (-infinity, infinity)
range represents y values so it would also be all real numbers or (-infinity, infinity)
let’s say there is a line (refer to pic) that moves ONLY from point (-3, -1) and (2, 2)
the domain would be [-3, 2]
we use brackets because it’s a real number unlike infinity (also because it’s a closed circle on the graph; if the graph had an open circle you would use a parenthesis)
and the range would be [-1, 2]
if you have any more questions about this explanation feel free to ask!
