46.9k views
0 votes
On a separate sheet of paper, graph the function. In the answer box, describe the function.

f(x) = {-5x+2 if x 2
2x - 2 if x 22

Please type your explanation (no links).

On a separate sheet of paper, graph the function. In the answer box, describe the-example-1
User Vehbi
by
7.7k points

1 Answer

0 votes

Answer:

see attached

Explanation:

The graph for x < 2 is the line y = -5x +2. It has a y-intercept of 2 (point (0, 2)) and a slope (rise/run) of -5. The line ends with an open circle at (2, -8).

The graph for x ≥ 2 is the line y = 2x -2. It has a slope of 2 and ends with a solid dot at the point (2, 2). Another point on that line will be 2 units right and 4 units up, at (4, 6).

You can plot the points described here and draw rays through them to form the graph. A graph is attached.

__

description

The function is a piecewise linear function with a jump discontinuity at x=2. The portion left of x=2 has a slope of -5 and ends with an open circle at (2, -8). The portion right of x=2 has a slope of +2 and starts with a solid dot at (2, 2).

Its domain is all real numbers. Its range is all y-values greater than -8.

On a separate sheet of paper, graph the function. In the answer box, describe the-example-1
User Bibbin
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories