Answer:
Option C.
Step-by-step explanation:
The given function is
We need to find the domain and range of the function.
Domain is the set of input values.
The given function is an exponential function. This exponential function is defined for all real values of x. So,
Domain : {x | x is a real number}
Range is the set of output values.
We know that is always greater than 0.
Add 2 on both sides.
So, the rage of the function is
Range: {y | y > 2}
Therefore, the correct option is C.
Answer:
The volume of the prism is equal to the volume of the cylinder
Step-by-step explanation:
For each solid figure, the volume formula is ...
V = Bh
where B is the cross-sectional area and h is the height. The problem statement tells us B and h have the same values for both figures. Hence their volumes are the same.
Answer:
m=3/4
Step-by-step explanation:
First, let us remind ourselves of the slope formula: m=rise/run=(-)/(-)
Let's pick two points from the graph to work with. Let's do (3,-6) and (-1,-9).
And let 3=, -6=, -1=, -9=.
1. Substitute the values into the slope formula: [-9-(-6)]/(-1-3)
2. simplify the expression: [-9-(-6)]/(-1-3)=(-9+6)/-4=-3/-4=3/4
3. As a result, the slope of the line is 3/4