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3 years ago

Does the table represent a function?

Mathematics

2 answers:

asambeis [7]3 years ago

4 0

Yes, the table represents a function.

None of the independent (x) values are repeated and each one has a corresponding (y) value.

If you had a repeated (x) value in the table, it would not represent a function.

Alinara [238K]3 years ago

4 0

Answer:

The table represents a function

Step-by-step explanation:

a function is a map from non-empty set A to a non-empty set B such that every element of A is mapped to a unique element of B.

As we can see from the table that corresponding to every x, there exist a unique image y

(f(-2)=7

f(-1)=4

f(0)=3

f(1)=4

f(2)=7)

Hence, The table represents a function.

You might be interested in

Solve the system using any method. y = 3x + 2 y = 7x - 10

Marysya12 [62]

Answer:

x=3

y=11

Step-by-step explanation:

y = 3x + 2 equation 1

y = 7x - 10 equation 2

using equation 1 in equation 2 we have:

3x + 2 = 7x - 10

2=7x - 3x -10

2 = 4x -10

2+10 = 4x

12= 4x

12/4 = x

we have:

x= 3

using equation 1:

y = 3x + 2

y= 3(3)+2

y=9+2

y=11

4 0

3 years ago

Please help. How do you find cosine, sine, cosecant and secant with this triangle?

Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

sine (sin) = opposite/hypotenuse
cosine (cos) = adjacent/hypotenuse
tangent (tan) = opposite/adjacent
cosecant (cosec/csc) = hypotenuse/opposite
secant (sec) = hypotenuse/adjacent
cotangent (cot) = adjacent/opposite
cosecant is the reciprocal of sine
secant is the reciprocal of cosine
cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

Trigonometric Ratio
Adjacent = 12
Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

10²+12² = c²
100+144 = c²
244 = c²

Thus, the hypotenuse is:

$\large \boxed{c = 2 \sqrt{61} }$

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = (6√61) / 61
sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = (5√61) / 61
cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = √61/5
secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = √61/6