How to determine algebraically even and odd functions

A graph is symmetric over the y-axis, the graph therefore, represents an even function. - Similarly, a graph represents an odd function if a graph is symmetric over the origin. - Also, the graph of an even function has a negative x-value (-x, y) corresponding to every original x-value. It also has the same y-values (x, y) for each. ... - Finally,the graph of an odd function has negative values of x and y (-x, -y) that correspond to x and y values (x, y). ...

Step-by-step explanation:...

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2