Answer:
{15, 3, 0}
Step-by-step explanation:
- Domain = the set of all x-coordinates
- Range = the set of all y-coordinates
Plugin the domain values into the equation then solve:
(fx) = x²- 4x + 3
First value
y = -2²- 4(-2) + 3 replace f(x) with y
y = 4 - (-8) + 3 -2² = -2 times -2 = 4 and 4 times -2 = -8
y = 12 + 3 add
y = 15 final result; first range value
Second value
y = 0²- 4(0) + 3 replace f(x) with y
y = 0 - 0 + 3 0² = 0 times 0, which is 0 and 4 times 0 is 0
y = 0 + 3 add
y = 3 final result; second range value
Third value
y = 1²- 4(1) + 3 replace f(x) with y
y = 1 - 4 + 3 1 times 1 is 1, 4 times 1 is 4
y = -3 + 3 add
y = 0 final result; third (last) range value
Therefore, Range: {15, 3, 0}
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