Given two functions are
f(x) = 2 cos(x)
g(x) = 3 sin(x+ )
We know that the maximum value of cos x and sin x is always 1
y= maximum of cos = 1
y= maximum of sin =1
f(x) = 2 cos(x)
y= 2 (max of cos) = 2(1) = 2
g(x) = 3 sin(x+ )
y= 3 (max of sin) = 3(1) = 3
g(x) = 3 sin(x+ ) has the maximum value.
Answer:
b. both functions have a negative slope
Step-by-step explanation:
The given function is
This function is of the form , where
is the slope and
is the y-intercept.
We can also determine the slope of the function in the table using any two points, say .
The slope formula is given by,
.
If , then,
.
We can see that both functions have a negative slope.
The correct answer is B.