Answer:
The domain and range of function is the set of all possible inputs and outputs of a function respectively.
The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.
The domain and range of any function can be found algebraically or graphically.
Answer:
m(x)
Step-by-step explanation:
they would have to pass the horizontal line test and the vertical line test for both the origional and the inverse.
b(x) does not pass the horizontal line test in any of the y values over 3
d(x) does not pass the horizontal line test for y=-9
p(x) does not pass the horizontal line test for positive y values
and m(x) has only one corresponding x value for every y value
We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation
.
To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate
and solve for t as:



Now we will switch sides:

Let us take natural log on both sides of equation.

Using natural log property
, we will get:










Therefore, it will take
years for area of the glacier to decrease to 15 square kilo-meters.
C is true as g intercept at 5 and f at 4.5