Find the intercepts, symmetries and asymptotes of the functions below

Question

Find the intercepts, symmetries and asymptotes of the functions below:

InterceptsSymmetriesAsymptotes

y = 5x + 3

y=6x+2y=6x+2

y=2x2+1y=2x2+1

Answer 1

to find the intercepts,

set x=0 and solve for y

set y=0 and solve for x,

do that for the quadratic and you get 2 imaginary x intercepts: +/-sqr(-1/2) = i/sqr2, -i/sqr2

y=5x+3 is an upward sloping straight line

y intercept: (0.3)

x ntercept: (-3/5, 0) =(-0.6, 0)

y=6x+2 is another upward sloping straight line

y-I: (0,2)

x-I: (-1/3)

y=2x^2 +1 is an upward opening parabola

y-I: (0,1) = vertex=minimum

x:I: none

axis of symmetry: x=0

no asymptotes for any of the equations