What is the value of f(-2) and f(3)
1 answer:
Answer:
Step-by-step explanation:
When answering questions like this, we have to first decide which function we have to use. This is done by looking at the given domains (the x≤-2 etc). The first question ( f(-2) ), means we have to choose the function that applies to the x-coordinate -2. x=-2 is part of the section x ≤-2 since the sign means larger or equal to -2. Hence, we use the function 2x+8 to calculate f(-2). After finding this, the solving is relatively easy, just fill in the x-coordinate:
f(-2) = 2 * -2 + 8 = -4 + 8 = 4
The second one needs the same method. x=3 belongs in the section
-2 < x ≤ 3, since the final part means x is smaller or equal to 3, and in this case it is. Hence we use here:
f(3) = 3² - 3 = 9 - 3 = 6
I hope this helps! Feel free to reach out if you still have questions
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Answer:
A. The system has no solutions
Step-by-step explanation:
Step 1: Check to see if the 2 lines share 1 slope
slope of blue line =
slope of red line =
Step 2: Realize that lines with the same slope never touch
We know lines with the same slope are parallel to each other so they won't collide
Step 3: Know what the question is asking you
When they ask for solutions to the system of equations they are asking you to find out where they intersect
Step 4: Find answer
Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution
Therefore the answer is A. The system has no solutions