he Solution:
iven:
The y-intercept of function 1 is:
![y-\text{intercept}=5\text{ }](https://img.qammunity.org/2023/formulas/mathematics/high-school/wovua9kw3dmzdfuqevl9wp9ijnqakf276t.png)
The y-intercept of function 2 is:
![y=1](https://img.qammunity.org/2023/formulas/mathematics/high-school/dy87pp1e3lz28ku95s9s4tv5bvbrg0dkd1.png)
(a) So, the farthest y-intercept from 0 is function 1.
he slope of function 1 is
![\text{Slope}=(2-5)/(1-0)=-(3)/(1)=-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/azw0dhn5vwtub2qs43lg5p8we42pzldgm1.png)
The slope of function 2 is
![\text{slope=}(3-1)/(1-0)=(2)/(1)=2](https://img.qammunity.org/2023/formulas/mathematics/high-school/ccbg2qtx94ci664vkf3y2g1axde1tq655h.png)
he solope of function 3 is -1
The slope of function 4 is 5
(b) hus, the steepest graph is the function with the highest slope.
So, the steepest graph is the graph of function 4 since it has the greatest slope.
(c)
Functions with y-intercept greater than -3 are:
unction 1, function 2, amnd function 4.
![\text{ function 3 has y-intercept=-4}<-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/rkdq3h9qva6ykumjtfv36svxn210zccm5v.png)