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4 years ago

Confused on one-to-one functions. Just need help 11-14 plz(: thank u

Mathematics

1 answer:

8_murik_8 [283]4 years ago

4 0

11. YES. Because each x-value is only used once (no duplicate x-coordinates)

12. range is the y-values. the lowest it goes is -2 (with an open dot), then it goes to +2 (with an open dot). then there is a separate line where y = 4.

Answer: (-2, 2) U [4, 4]

13. f(-1): when x = -1, y = ??? (do not count the open dot!)

Answer: 1

14. f(3): when x = 3, y = ??? (do not count the open dot!)

Answer: 4

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Let's start defining the variables.

X : ''Number of 1 - point free throws''

Y : ''Number of 2 - point baskets''

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Where X.1 represents the total points from 1 - point free throws.

Where Y.2 represents the total points from 2 - point baskets.

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Reading the exercise, we can write two more equations :

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$Y=Z+2$ (II)

$Z=X+2$ ⇒ $X=Z-2$ (III)

Replacing (II) and (III) in (I) :

$(Z-2).1+(Z+2).2+Z.3=74$

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We can verify by replacing X = 10 , Y = 14 and Z = 12 in equation (I) :

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