Answer:
Given: The equation of the rainbow has a shape of a parabola:
In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points
We will draw a line that will be intersected with the parabole at two points and one of them has x = 4
See the following picture:
As shown in the figure, the plane takes off from the point (-18, 0)
And it makes a slanted line that cuts through the rainbow at two points.
The equation of the linear function will be: y = 0.5x + 9
The table of the linear function will be as follows:
2. What is the domain and range of the rainbow?
Domain = all the possible value of x = ( -∞, ∞ )
Range = all the possible value of y = ( -∞ , 27 )
3. Explain what the domain and range represent in context.
The domain is all the possible values of x that can be substituted into the function
So, as we have a polynomial function, the domain will be all real numbers
The range is all the possible values of y that will be results when we have substituted with the x-values
As we have a parabola, the range will be ( -∞ , 27 )
What are the X- and y-intercepts of the rainbow?
As shown in the figure:
There are two points:
Explanation: