Question

a) find an equation for the family of linear functions with slope 2 and sketch several members of the family
B)a) find an equation for the family of linear functions such that f(2) =1 and sketch several members of the family
C)Which functions belongs to both families

Answer 1

A.) Equation with a slope of 2 is given by y = 2x + c; where c is the y-intercept.

B.) Linera functions such that f(2) = 1 is given by: 2m + c = 1; where m is the slope and c is the y-intercept.

C.) For a function to belong to both families, 2(2) + c = 1
c = 1 - 4 = 3
y = 2x - 3 belongs to both families.