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Consider the two functions. Which statement is true?
A) Function 1 has the greater y-intercept by 1 unit
B) Function 2 has the greater y-intercept by 1 unit
C) Function 1 has the greater y-intercept by 1 2 unit
D) Function 2 has the greater y-intercept by 1 2 unit

Function 2
x y
2 11
3 14
4 17
5 20

Consider the two functions Which statement is true A Function 1 has the greater yintercept by 1 unit B Function 2 has the greater yintercept by 1 unit C Functio class=

Respuesta :

Answer:

function 2 has the greater y intercept by 1 unit

Step-by-step explanation:

Function 2

x y

2 11

3 14

4 17

5 20

Lets frame equation for function 2 and then we find y intercept

Slope = change in y / change in x

slop [tex]m = \frac{14-11}{3-2} = 3[/tex]

we use equation y = mx + b

where m is the slope and b is the y intercept

We got m = 3, to find b we plug in x=2  and y =11 in y=mx+b

11= 3(2) + b

11= 6 + b

Subtract 6 on both sides

b= 5

So y intercept of function 2 is 5

Now we find the y intercept of function 1 from the given graph

y intercept is the point where the graph crosses y axis

the graph of function 2 crosses y axis at 4

So y intercept of function 1 is 4

Hence function 2 has the greater y intercept by 1 unit

calculista

Answer:

Option B. Function [tex]2[/tex] has the greater y-intercept by [tex]1[/tex] unit

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

In this problem

The y-intercept of the function [tex]1[/tex] is [tex]4[/tex] ----> observing the graph

Step 1

Find the slope of the function [tex]2[/tex]

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]A(2,11)\ B(3,14)[/tex]

substitute

[tex]m=\frac{14-11}{3-2}=3[/tex]

Step 2

Find the equation of the function [tex]2[/tex]

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=3[/tex]


[tex]A(2,11)[/tex]


substitute

[tex]11=3(2)+b[/tex]

[tex]b=5[/tex] ------> the y-intercept of the function [tex]2[/tex]

therefore

Function [tex]2[/tex] has the greater y-intercept by [tex]1[/tex] unit



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