Answer:
last option is correct
...................................
We have to calculate the maximum and minimum of these functions.
f(x)=3 cos (2x)+4
1) we find the first derivative
f´(x)=-6 sin(2x)
2) We find those values that makes the first derivative equal to zero.
-6 sin(2x)=0
sin (2x)=0/(-6)
sin (2x)=0
2x=sin⁻¹ 0
2x=kπ
x=kπ/2 K=(...,-2,-1,0,1,2,...)
2) we find the second derivative and check if it has a maximum or minimum at x=kπ/2
f´´(x)=-12 cos (2x)
for example if k=0;
f´´(0)=-12 cos(2*0)=-12<0 ; because -12 is less than "0" ,it has a maximum at x=kπ/2.
3) we find the maximum y-value:
if K=0; ⇒x=0
f(x)=3 cos (2x)+4
f(0)=3 cos (2*0)+4=3+4=7
The maximum y-value of f(x)=3 cos (2x)+4 is y=7.
g(x)
We can look at the graph of this function :
the maximum y-value is y=3.
h(x)
We can look at the table of this function;
the maximum y-value of this function is y=-2
Therefore the greatest maximum y-value will be y=7
Answer:
Which function has the greatest maximum y-value?
f(x)
The way to solve radicals include:
- Determine the prime factors of the number under the root.
- Write the prime factors in groups.
- Simplify any multiplication and exponents.
- Simplify the radical until no further simplification can be done.
<h3>How to illustrate the information?</h3>
It should be noted that your information is incomplete. Therefore, an overview will be given.
When the radical symbol is used to denote any root other than a square root, there will be a superscript number in the 'V'-shaped part of the symbol.
For example, 3√(8) means to find the cube root of 8
Learn more about radical on:
brainly.com/question/8952483
#SPJ1
Answer:
-2x+1
Step-by-step explanation: