Step-by-step explanation:
y = |x - 2| - 1
Given equation is in the form of y=|x-h|+k
Where (h,k) is the vertex
h = 2 and k =-1
So (2, -1) is the vertex for the given function
To find x intercepts we plug in 0 for y
we will get two values for x because of absolute function
0 = |x-2| -1
add 1 on both sides
|x-2| =1
x-2 =1 and x-2 =-1
x= 3 and x= 1
So x intercepts are (1,0) and (3,0)
the graph is attached below
The answer for the question shown above is the second one, which is: The domain is all real numbers. The range is all real numbers greater than zero.
The explanation is shown below:
You have the following function given in the problem above f(x)= (1/5)^x. As you can see, it is a exponential function. By definition, the domain of the exponential functions is all the real numbers anf their range is all real numbers greater that zero.
Answer:
=
Step-by-step explanation:
The fractions are equal because we can simplify 3/6 to 1/3 as their biggest common divisor is 3
and
we can simplify 2/4 to 1/2 as their biggest common divisor is 2
So we are using the common divisor to simplify both fractions to solve this problem.