Is the function shown in the graph one-to-one?

No, there exists more than one output for at least one input.

Yes, there exists one output for every input.

Yes, there exists one input for every output.

No, there exists more than one input for at least one output.

Yes, there exists one output for every input.

Step-by-step explanation:

A function is called one-to-one if every output(y)comes from one kind of  input(x) . There are no two input that give same output.

To know if a function is one-to-one you can do vertical line test. Draw vertical lines on several points and see if there are 2 point intersect with the lines. From the graph, you can see that it pass horizontal lines test.

On other hands, if every input give only 1 kind of output is the graph will be called as a function. This can be tested using vertical line test. This graph is also a function.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.