Question

Can anyone help with these ? I'll give brainlyiest to anyone that can help with all of them! :) Thank you in advance .

Answer 1

Answer:

1. (a) A function is a mapping $f:x\rightarrow y$ where there should be different values of y for different x.

So, given ordered pairs:

(3,7), (3,8) ,(3,-2) ,(3,4) ,(3,1)

It is not a function because there are multiple y values for single x-value.

Option 2 is correct.

(b) We need to find range of the function f(x)= -4x +1

So, we have given the domain which means the value of x we will put thses given values of x to find y

Values of y is the range in a function

So, given domain is: {-5,-1,0,2,10}

When $x= -5$

$y=-4(-5)+1=21$

When $x=-1$

$y=-4(-1)+1=5$

when $x=0$

$y=-4(0)+1=1$

when $x=2$

$y=-4(2)+1=-7$

when $x=10$

$y=-4(10)+1=39$

So, Range is: {-39,-7,1,5,21}

Option 1 is correct.

(c) We have given a function $v(c)=98c$

Where c is the number of cup jug of milk which is 16.

Put c=16 in given function

$v(c)=98\cdot 16$

$v(c)=1568$

So, c=16, v(c)=1568 is reasonable domain and range of the function.

Option 1 is correct.

(d) We need to find the inverse of given ordered pairs (1,2) (3,4) ,(6,8)

So, the inverse means values of x and y interchange.

So, the required inverse is: (2,1) ,(4,3) ,(8,6)

Option 3rd is correct.

2. We need to find the inverse of given scatter plot in which we have to find the inverse

So, given scatter plot represents (-4,-2) ,(1,-1) ,(2,1) ,(3,2)

So, in inverse values of x and y interchange

So, inverse scatter plot should represent (-2,-4) ,(-1,1) ,(1,2), (2,3)

Attached is the scatter plot inverse

Graph 1 is correct.

3.We have been given a function:

$f(x)=3x$

So, f(x)=y

That is $y=3x$

We will find x from above equation we get

$x=\frac{y}{3}$

Now, interchange x and y

$y=\frac{x}{3}$

$\Rightarrow f(x)=\frac{x}{3}$ is the required inverse

Therefore, option 3rd is correct.