Question

The function of f(x) = 5x+2 has the domain -3, -1, 1, 4. Which of the following is the range of the function? F) -17, -7, 7, 22 G) -17, -3, 3, 18 H) -13, -3, 7, 22 J) -13, -3, 9, 12

Answer 1

Given the domain -3, -1, 1, 4, the range of the function f(x) = 5x+2 is -13, -3, 7, 22. Each value in the range is obtained by substituting the corresponding domain value into the function.

Step-by-step explanation:

The function f(x) = 5x+2 is a linear function where you multiply the input (x-value) by 5 and then add 2. To find the range of a function given specific inputs from the domain, you simply substitute these values into the equation and calculate the output.

For x = -3, f(-3) = 5*(-3) + 2 = -15 + 2 = -13.
For x = -1, f(-1) = 5*(-1) + 2 = -5 + 2 = -3.
For x = 1, f(1) = 5*(1) + 2 = 5 + 2 = 7.
For x = 4, f(4) = 5*(4) + 2 = 20 + 2 = 22.

So, given the domain -3, -1, 1, 4, the range of the function f(x) = 5x+2 is -13, -3, 7, 22.

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