What relations does not represent an function?

a) {(3, 0), (0, 3)}

b) {(6, -2), (5, -2)}

c) {(3, 4), (3, 5)}

d) {(5, 5), (-5, -5)}

e) {(1, -2), (-2, 1)}

C) {(3, 4), (3, 5)}

Step-by-step explanation:

We know that,

'Function is a relation in which every element of the domain is mapped to a unique element in the co-domain'.

So, we get that,

In the ordered pair (x,y), the if 'x' is mapped to two values say y and z, then for the relation to be a function, y  must be equal to z.

So, according to the options, we see that,

In option C i.e. the relation {(3,4), (3.5)}, we have that, 3 does not have unique image i.e. it is mapped to 4 and 5 both.

Thus, this relation does not satisfy the definition of a function.

So, option C will not represent a function.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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