Determine the domain and range of the given function
1 answer:
Answer:
The domain: all real numbers;
the range:
Step-by-step explanation:
The domain and the range of the parent function are all real numbers and all real numbers that are greater or equal to 0.
Given graph of the function is translated graph of the parent function 2 units down. Thus, the domain of the function
is the same as the domain of the parent function and the range is
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Answer:
Proved
Step-by-step explanation:
Given
Integers: a and b
Where
Required
Show that
We start by writing out the given expression
Then, take nth root of both sides
For instance:
Let a = 2, b = 2 and n = 4
First
Since
Then
Proved
<em>This is so for all positive values of a,b and n where a < b</em>
Answer:
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope =
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
2) (3 , -4) ; m= 3
)
y - [-4] = 3(x - 3)
y + 4 = 3x - 3*3
y + 4 = 3x - 9
y = 3x - 9 - 4
Ans: y = 3x - 13
3) m = 2 ; y-intercept (b) = 3/2
y = mx + b
Ans: y = 2x + (3/2)
4) (-1, 3 ) ; (2 , 0)
Slope =
m = 1; ( -1 , 3)
y - 3 = 1(x -[-1])
y - 3 = 1(x + 1)
y - 3 = x + 1
y = x + 1 + 3
Ans: y = x + 4
5)(2, 1) ;m = -3
y - 1 = (-3)(x - 2)
y - 1 = -3x + 6
y = -3x + 6 +1
Ans: y = -3x + 7