Answer:
10 of 1
Step-by-step explanation:
just think about it
Use slope intercept form for equation, which is y = mx +b. m is slope and b is the y-intercept.
Find slope by change in y over change in x. So pick two points, for example (0, 24) and (2, 20). Slope (m) will be
(y2-y1)/(x2-x1)
= (24-20)/(0-2)
= 4/-2
m = -2
Y-intercept is 24.
Equation is y = -2x + 24
F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2
The period for a cosine function is 2pi/k
In the equation the k is located before the variable.
In g(x) we have 5cos (1x) -2
so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.
In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .
