71.9k views
3 votes
What is the y-intercept of function f? f(x)={-3x-2, -infinity​

What is the y-intercept of function f? f(x)={-3x-2, -infinity​-example-1
User Riggaroo
by
2.8k points

1 Answer

4 votes

Answer: 1 (choice D)

======================================================

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

User Mark Boltuc
by
2.9k points