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natulia [17]
1 year ago
6

Find the range of the function for the given domain. ​

Mathematics
1 answer:
Mice21 [21]1 year ago
5 0

Answer: {5, -7, -19, -27, -35}

Step-by-step explanation:

In order solve this, we need to plug in the values of x into the table.

For spaces on the left of the equals sign, you need to write each x from the domain. You can then match that x-value with its function value by putting that on the right side.

For each equation, we are simply plugging a number from the domain into the function and replacing the x-value:

f(-1) = -4(-1) + 1 = 5\\f(2) = -4(2) + 1 = -7\\f(5) = -4(5) + 1 = -19\\f(7) = -4(7) + 1 = -27\\f(9) = -4(9) + 1 = -35

I hope this helps. If you need any extra explanation on how the functions are set up, please let me know.

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Answer:

B: 4/5x -2y ≥ 3

Step-by-step explanation:

The first thing I always look for is the y-intercept which in this case is around -1.5 (-1\frac{1}{2}). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around \frac{2}{5}. So now, your equation is y = \frac{2}{5}x -1 \frac{1}{2\\}. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ \frac{2}{5}x -1 \frac{1}{2\\}.

Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤  \frac{4}{5}x -3. The last step is to rearrange the inequality so that it matches the answers on the question.

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x=-1 or 7

Step-by-step explanation:

We use casework on when 3x-9=12 and when 3x-9=-12.

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This gives us two solutions to the equation; x=7 and x=-1.

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