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Which ordered pair below is not a solution to f(x)=x²-3x+4 1. (0,4) 2. (1.5, 1.75) 3. (5, 14) 4. (-1,6)

User RSX
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1 Answer

5 votes

Answer:

(- 1, 6 ) is not a solution

Explanation:

given

y = f(x) = x² - 3x + 4

to determine which point is a solution

substitute the x- coordinate of each point into f(x) and if the value is equal to the y- coordinate , then it is a solution.

1 (0, 4 )

f(0) = 0² - 3(0) + 4 = 0 + 0 + 4 = 4 ← (0, 4 ) is a solution

2 (1.5, 1.75 )

f(1.5) = 1.5² - 3(1.75) + 4 = 2.25 - 4.5 + 4 = - 2.25 + 4 = 1.75 ← (1.5, 1.75) is a solution

3 (5, 14 )

f(5) = 5² - 3(5) + 4 = 25 - 15 + 4 = 10 + 4 = 14 ← (5, 14 ) is a solution

4 (- 1, 6 )

f(- 1) = (- 1)² - 3(- 1) + 4 = 1 + 3 + 4 = 4 + 4 = 8 ≠ 6 ← (- 1, 6 ) is not a solution

the ordered pair (- 1, 6 ) is not a solution

User Dagatsoin
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