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List the ordered pairs of the function f(x)=8x-3 when the domain is {-2,0,2,4}.Please explain in steps clearly

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  1. the domain are the x valus, thus: 2,0,2,4 the ordered pairs are x and f(x) values thus, plug in the x-values to get f(x) out: (-2,-19) , (0,-3) , (2,13) , (4,29) more explanation: I just substituted in 2, 0, 2 and 4 for x into 8x-3
  2. The domain is the set of numbers that you must plug in for x into the equation. In this case, every number plugged in one at a time gives you a range of - {-19, -3, 13, 29} your ordered pairs would then be (-2,-19) (0,-3) (2,13) (4,29) Hope this helps!!!
  3. You plug the numbers in as x so you have to go thru each one and plug in the # as x and see which works so basically it turns out to be a number=a number but the number's have to be the same. -2: f(-2)=8(-2)-3 you plug in -2 as x -2f=-16-3 you multiply x with something else -2f=-19 you subtract -16 w/ 3 f=9.5 you divide both sides by -2 and you get f=9.5 or 9 and a half the rest you do on your own.
  4. (-2,-19)(0,-3)(2,13)(4,29) it's simple. f(x) is the x value, the x value always being one of the numbers in the domain. =8x-3 is the y value of the ordered pair. Take, for example, 0 from the domain. The x value of the ordered pair is automatically 0, and the y value is found by substituting x with the value. 8(0)-3= -3. Hence, -3 is the y value. Therefore, you get 0,-3 as one of your ordered pairs.
  5. The domain is the set of numbers you are going to use for x. One by one put them into your function f(x): f(-2) = 8(-2) - 3 f(-2) = -16 - 3 f(-2) = -19 So your first pair is -2, -19 Next 0: f(0) = 8(0) - 3 f(0) = 0 - 3 f(0) = -3 The next pair is 0, -3 Continuing with 2: f(2) = 8(2) - 3 f(2) = 16 - 3 f(2) = 13 Ordered pair 2, 13 Finally x = 4: f(4) = 8(4) - 3 f(4) = 32 - 3 f(4) = 29 Ordered pair 4, 29 The ordered pairs are: (-2, -19) (0, -3) (2, 13) (4, 29) Extra credit: Your domain is {-2, 0, 2, 4} Your range is {-19, -3, 13, 29}
  6. Translation: Find values for y, given that x=-2,0,2,4 Write your answers as ordered pairs. y=f(x) Therefore y=8x -3 When x = -2, y= -19, (-2,-19) When x=0, y=-3,.......(0,-3) When x =2, y=13.......(2,13) When x=4, y=29........(4,29 Simply substitute the values given for x into y=8x-3, then solve for y)
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