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larisa86 [58]
3 years ago
7

Which function is graphed below

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Graph given for the function has three segments therefore, its a piecewise function.

For a segment lying between (2, ∞)

Slope of the line = \frac{\text{Rise}}{\text{Run}}

                            = \frac{2}{1}

                            = 2

y-intercept of the line = -2

Therefore, equation of the line will be,

y = 2x - 2

Second segment is a straight line,

Equation of the line will be,

y = 4

Third segment is a straight line.

Slope of the line = \frac{\text{Rise}}{\text{Run}}

                            = \frac{1}{1}

                            = 1

Equation of the line will be,

y = x + b

Since, this line passes through a point (6, 7)

7 = 6 + b

b = 1

Therefore, equation of the third segment will be,

y = x + 1

So the piecewise function will be,

f(x) = 2x - 2   For x < 2

        4     For 2≤ x ≤ 5

        x + 1   For x > 5

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