Answer:
A). slope less than 4 is of function 1, 2, 3.
B). y intercept closest to 0 is of function 1.
C). greatest y intercept is of function 2.
Explanation:
A). Function 1,
Passes through two points (0, -1) and (1, -2)
Slope of the function =
![(y-y')/(x-x')](https://img.qammunity.org/2020/formulas/mathematics/high-school/q92lj4w2spf6nfqz3e0uhjaigmgafpe4bp.png)
=
![(-2+1)/(1-0)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jbmz0xhs8fldkdcg6csh90qu2oojhe54sb.png)
=
![(-1)/(1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k53e3vvatw5f2yitwzputf9anm50gfw739.png)
= -1
Function 2,
Passes through two points (-2, 13) and (-1, 9)
Slope of the function =
![(13-9)/(-2+1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3q4xyr65rtjygjwlrzxchwof0cwecvbhqs.png)
=
![(4)/(-1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q0iyti6a7of38eu5ujxdhyto40zwmts0to.png)
= -4
Function 3,
The linear function is y = 3x + 2
Slope of the function = 3
Function 4,
Slope is given as 5.
Therefore, slope less than 4 is of function 1, 2, 3.
B). Function 1.
y intercept of the function = -1
Function 2,
It is given that point (0, 5) lies on the given function.
Therefore, y intercept will be 5.
Function 3,
y = 3x + 2
where y intercept is 2
Function 3,
It is given that y intercept = 2
Therefore, y intercept closest to 0 is of function 1.
C). As we have calculated in part B, greatest y intercept is of function 2.