Question

What is the y-intercept of function f?( look at picture)

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fix)
—3r – 2, 3-x + 1, -2 t x <3
|2x + 5, 3 < r <

Answer 1

D

Explanation:

the y-intercept is nothing else than the y-value when x = 0 (the point where the graph intersects the y-axis, which is the vertical line at x=0).

for x = 0 we need to use the middle definition

f(x) = -x + 1

because -2 <= x < 3, and that is the interval, where we find 0 (larger than -2 and smaller than 3).

so,

f(0) = -0 + 1 = 1

so, D is the correct answer