Answer:
Step-by-step explanation:
Given is a graph of parent funciton
This graph is made into a series of transformations as horizontal shift by 1 unit to the right and vertical shift of 4 units up to get new funciton as
Hence we must have a graph which has horizontal shift of 1 unit to the right and vertical shift 4 units up.
Option A is the same as given hence incorrect
Option B has horizontal shift to left hence incorrect
Option C has vertical shift down by 5 units incorrect
Option D is correct since it passes through (1,4) and also hor shift, vert shift are right
Domain: set of all numbers that can be inputted into a function
Since you cannot take the square root of a negative number, this means that x-4 CANNOT be negative. So it's either 0 or it's positive.
So..
<span>x−4≥0
</span>x−4+4≥0+<span>4
</span>x≥<span>4
</span>So this says: "Any number greater than or equal to 4 will result in x-4 being either 0 or some positive number"
So this means that the domain is
<span>{x|x≥4}
</span>This basically says: "the domain is the set of all numbers x such that x is greater than or equal to 4"
In interval notation, the domain is <span>[4,∞)
</span>The range is the set of all possible outputs. We can find the most extreme point of the range by plugging in the most extreme value for the domain
<span>
sqrt(x-4) = </span>sqrt(4-4) = <span>sqrt(0) = 0
</span>So the smallest possible output is y=0, which means that the range is
<span>{y|y≥0<span>}
</span></span>
This basically says: "the range is the set of all numbers y such that y is greater than or equal to 0"
In interval notation, the range is
<span>[0,∞)</span>
Sigma(i = 7 to 16, 2i-12) = 2*sigma(i = 7 to 16, i) -120
= 2*115-120 = 110
Answer:
x=-3 and x=0
Step-by-step explanation:
The values where f(x) = g(x) is where the graphs intersect
One point is at (-3,0) and the other point is at (0,6)
We have two points of intersection since one is a parabola and the other is a line
Answer:
2369
Step-by-step explanation:
