What type of triangle is formed by joining the points d(7, 3), e(8, 1), and
f(4, -1)?

DEF is a right angle triangle.

Step-by-step explanation:

Given: Three coordinate of triangle.  D(7, 3), E(8, 1), and  F(4, -1)

Using distance formula to find the length of side of triangle.

DE≠DF≠EF

Thus, DEF is neither equilateral nor isosceles.

Using pythagoreous theorem,

LHS  = RHS

So, Triangle DEF is satisfy the pythagoreous theorem.

Thus, DEF is a right angle triangle.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph