Hey there! Sorry no one is answering! Definitely B!!
Answer: A'(-10, -4) and C''(-6, -8) B. A'(-10, -4) and C"(-18, -24) C. A'(-30, -12) and C"(-18, -24) D. A'(-30, -12) and C"(-4, -6) E. A'(-10, -4) and C"(-4, -6)
Answer:
C) Both functions are decreasing and both are positive on the interval (0;2)
Step-by-step explanation:
As known the exponent function has no minimum and has no maximum.
Otherwise exponent function can be only or increasing or decreasing for all x.
That means that in case y(x2)>y(x1) and if x2>x1- function is increasing.
That means that in case y(x2)<y(x1) and if x2>x1- function is decreasing.
Lets check what is going on with the function f(x)
If x1=0 f(x1)=24
If x2=2 f(x2)=0
So x2>x1 however f(x2)<f(x1)=> function is decreasing
Similarly g(x)
If x1=0 g(x1)=15
If x2=2 g(x2)=0
So x2>x1 however g(x2)<g(x1) => function is decreasing
So bothfunctions are decreasing.
Because f(x) is decreasing the function meaning with argument x1=0 has max in the interval x∈(0;2) And function meaning has the minimum if argument x2=2. So the function F(x) in interval (0;2) is changing from 24 to 0 => is positive on the interval (0,2)
The same is with g(x) . g(x) gonna be positive on the interval (0;2)
-3 because it shows the value right there
2,3,7,8=
1)3*7=21
2)2*8+7=32
3)7*3+8=29
4)7*3+2=23
5)7*8 divided by 2=28
6)8*3=24
7)2*3*8=48
Hopes This Helps :)
