he Solution:
iven:
The y-intercept of function 1 is:
[tex]y-\text{intercept}=5\text{ }[/tex]
The y-intercept of function 2 is:
[tex]y=1[/tex]
(a) So, the farthest y-intercept from 0 is function 1.
he slope of function 1 is
[tex]\text{Slope}=\frac{2-5}{1-0}=-\frac{3}{1}=-3[/tex]
The slope of function 2 is
[tex]\text{slope=}\frac{3-1}{1-0}=\frac{2}{1}=2[/tex]
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.
[tex]\text{ function 3 has y-intercept=-4}<-3[/tex]
