Which graph shows a function whose inverse is also a function?
2 answers:
Answer:
A -- the curves that are not parabolas
Step-by-step explanation:
The inverse relation will only be a function if it passes the vertical line test: a vertical line cannot intersect the curve at more than one point.
A "half-parabola" can have an inverse function.
A parabola will have an inverse relation that is not a function. When x-values are repeated, as "goes through (5, 2) and goes through (5, -2)", the relation is not a function.
The graph that shows inverse functions is attached. A function and its inverse are mirror images of each other in the line y=x.
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Answer:
The parent function f(x) is equal to
The translations is 3 units to the left and 5 units down
Step-by-step explanation:
we have
The vertex of the function h(x) is the point (-3,-5)
we know that the parent function f(x) is equal to
The vertex of the function f(x) is the point (0,0)
so
The rule of the transformation of f(x) to h(x) is equal to
(x,y) -----> (x-3,y-5)
That means ----> The translations is 3 units to the left and 5 units down