consider the following piece-wise function. which of the below correctly describes the graph shown?

Step-by-step explanation:

The best way to handle a problem like this is to graph it on a program like Desmos. Be sure and put the restrictions in.

The graph is below. The point where (3, approximately 11) should be, cannot be label because it is undefined. Everything else should be fine. It is just the end point on the parabola that is causing the problem. Whatever the graph they gave you, you can copy all the important points that Desmos gives you.

f(x) = { 29 , 0≤x≤250

0.35 (x-250) + 29 250< x< ∞ }

Step-by-step explanation:

Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29. For any minute of 250, Tracy is charged $0.35 per minute

For first 250 minutes the flat charge is 29

LEts x be the number of minutes called

x- 250 be the minutes to be charged

Tracy is charged $0.35 per minute

so charge = 0.35(x-250) + 29

We write piece wise function for 0 to 250 minutes and then for above 250 minutes

f(x) = { 29 , 0≤x≤250

0.35 (x-250) + 29 250< x< ∞ }

f(- 7) = - 57

Step-by-step explanation:

To evaluate f(- 7) substitute x = - 7 into f(x) = 7x - 8, since condition is

f(x) = 7x - 8 for x ≥ - 7, thus

f(- 7) = 7(- 7) - 8 = - 49 - 8 = - 57

f (x) = { 19 + 0.39(x - 300), x > 300

Step-by-step explanation:

Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan. If then If then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore Hence, { 19 + 0.39(x - 300), x > 300

Hoped I helped

f (x) = { 19 + 0.39(x - 300), x > 300

Step-by-step explanation:

Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan. If then If then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore Hence, { 19 + 0.39(x - 300), x > 300

c

Step-by-step explanation:

The slope of the first line is 1/2 and intercepts at -3 so you can rule out b and d. The boundary line is at positive 2 therefore it is c .

The 3th answer is correct.

for x<2, form graph we know that if x=0 than y=-3.

For x<2 in 3th we have y=1/2x-3, so for x=0, y=(1/2)*0-3=0-3=-3. It fits.

For x=2, from graph we have that y=-2.

For x>=2 in 3th we have y=3x-8, so for x=2, y=3*2-8=-2. It fits.

These answer fit also i for first, but breakpoint for y from graph is point 2 not point -2, so the answer is 3th.

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