Question

Help!!! Asap!! Will give out brainliest!! Need to explain how you did it please and thanks!! Just look at the picture attached!! Thank you so much!!
9) Which piecewise function is shown on the graph?
8
[485 - 5, ICO
f(3) = 3 0 SI56
-- - 7, I>6
6
2
(-4e5 – 5, I<0
(*) = 3
03:36
|-+7 >6
.
>
2
-6
-3
(465 - 5, ICO
0 SI56
1-5+7,> 6
(ges + 5, sco
f(1) = 3
0 SI56
= + 7
I>6

Answer 1

9514 1404 393

Answer:

  C  f(x) = {4e^x -5, ..., -x +7, ...

Step-by-step explanation:

The easiest portion to check is the constant section in the interval [0, 6]. All of the function definitions agree on that, so that doesn't help choose the right answer.

__

Next easiest is the linear section at the right. It has a negative slope. Extension of the line to the y-axis shows it has a positive y-intercept. This eliminates choices A and D.

__

The horizontal asymptote of the exponential portion at the left is -5. Both of the remaining choices B and C agree on that. The exponential is increasing at an increasing rate, so its coefficient is positive. This eliminates choice B.

The appropriate description of the function on the graph is offered by choice C.

_____

The graph below plots the function. We note that the given graph seems to show the exponential curve incorrectly.