Question

For the following exercises, find the x- and y-intercepts of the graphs of each function.

Answer 1

The x- and y-intercepts of the graphs of the function described are; (2,0) and (4,0) respectively.

What are the x- and y-intercepts of the graph of the function?

It follows from the task content that the function given is; f(x) = −2| x +1 | + 6.

Since the x- and y-intercepts corresponds to x and y values for which y and x are zero respectively, it follows that;

x -intercept is;

0 = -2(x+1) + 6

2x = -2 +6

2x = 4

x = 4/2 = 2

y-intercept is;

y = -2(0+1) +6

y = 4.

Read more on y-intercept;

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