Question

What is the y-intercept of function f? f(x)={-3x-2, -infinity​

Answer 1

Answer: 1 (choice D)

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Step-by-step explanation:

The y intercept always occurs when x = 0.

Visually this is where the function curve crosses or touches the vertical y axis.

The input x = 0 fits into the interval
`-2 \le \text{x} < 3` since
`-2 \le 0 < 3` is a true statement. This means we'll go for the second piece of the piecewise function.

Plug x = 0 into this middle piece to get...

f(x) = -x+1

f(0) = -0+1

f(0) = 1