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3 years ago

G = {(5,3), (2, 3), (6,4)} Is G^-1 a function and why?

Mathematics

1 answer:

sleet_krkn [62]3 years ago

5 0

Answer:

The inverse relation G^(-1) is not a function. Why not? Because the y value y = 3 is paired up with more than one x value (x = 5, x = 2). The inverse relation G^(-1) is the set shown below

{(3,5), (3,2), (4,6)}

All I've done is swap the (x,y) values for each ordered pair to form the inverse relation. As you can see, x = 3 leads to multiple y value outputs which is why this relation is not a function. So in short, the answer is choice C. To have the inverse relation be a function, each value in the original domain must map to exactly one value in the range only. However that doesn't happen as the domain values map to an overlapping y value (y = 3).

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A cell phone is 84 mm long and 46 mm wide. What is the ratio of the widty to the length?

tankabanditka [31]

Answer:

23/42

Step-by-step explanation:

width/length

46/84

=23/42

23:42

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3 years ago

Use the net to find the surface area of the square pyramid. A) 210 in2 B) 320 in2 C) 420 in2 D) 450 in2

Aleksandr [31]

Answer:

D. 420

The area of a triangle is

$\frac{1}{2} bh$

half of(base× height)

10×16= 160

160÷2=80

That is the surface area of ONE triangle.

multiply 80 by 4 to get 320

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3 years ago

Help me please , thank you so much

Harlamova29_29 [7]

Domain: All real numbers, or (-∞,∞) depending on how you want to write it.

Range: [-4, ∞)

Vertex: (-2, -4)

Axis of symmetry: x = -2

Interval of increase: (-2, ∞)

Interval of decrease: (-∞, -2)

Y-int: (0, 0)

X-int/Zero/Solution(s): (-4, 0) and (0, 0)

For a polynomial function like this, which is a quadratic function, the domain is always negative infinity to positive infinity, or all real numbers.

The range is the lowest y-value to the highest y-value. The lowest y-value for this is at the vertex, but the function has no upper limit for the y-value.

The vertex is the point that you can very clearly see is at the tip of the graph.

Axis of symmetry is the vertical line that splits the graph in half at the vertex.

Interval of increase is the interval x values for which the function is increasing. The function increases to the right of the vertex.

Interval of decrease is to the left of the vertex.

The y-intercept is clearly (0, 0), where the graph intersects the y-axis.

The x-intercepts are also clear, since you can see where the graph intersects the x-axis.

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3 years ago

Which relation describes a function?

Kisachek [45]

Answer:

{(-2, -3), (-3, -2), (2,3), (3, 2)}

Step-by-step explanation:

A function is a set of ordered pairs in which no two pairs have the same first number.

In other words, an x cannot be paired with two y's.

A function takes an x and pairs it with one and only one y.

{(0,0), (0, 2), (2.0), (2, 2)} is not a function because it pairs 0 with both 0 and 2.

{(2,-1), (2, 1), (3,-1), (3, 1)} is not a function because it pairs 2 with both -1 and 1.

{(2, 2), (2, 3), (3, 2), (3, 3)} is not a function because it pairs 2 with both 2 and 3.

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3 years ago

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jeyben [28]

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3 years ago