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Nina [5.8K]
3 years ago
6

Which of the sets of ordered pairs represents a function? (4 points)

Mathematics
2 answers:
vovikov84 [41]3 years ago
3 0

Answer: D, neither A nor B

Step-by-step explanation: In a function, the x (the input) cannot repeat in the given set of ordered pairs. In Set A, 2 repeats in the third and fourth ordered pairs. In Set B, 9 repeats in the third and fourth ordered pairs as well.

Ganezh [65]3 years ago
3 0

Answer: B

Step-by-step explanation:

Functions and Relations

A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.

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Use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?
Leya [2.2K]

Answer:

f(g(-1)) = 22

g(f(-1))=6

Step-by-step explanation:

We are given

f(x)=5x+2 \\g(x)=3-x

We need to find f(g(-1)) and g(f(-1))

Finding f(g(-1))

First we will find f(g(x)) i.e

f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17

Now finding f(g(-1)) by putting x=-1

f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22

So, f(g(-1)) = 22

Finding g(f(-1))

First we will find g(f(x)) i.e

g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1

Now finding g(f(-1)) by putting x=-1

g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6

So, g(f(-1))=6

4 0
3 years ago
An open box is constructed from a square 10-inch piece of cardboard by cutting squares of length x inches out of each corner and
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Answer:

a vertical line will have no slope, and "the slope is undefined" or "the line has no slope" means that the line is vertical.

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