Question

URGENT!! please help! will mark brainliest!

Answer 1

Answer:

Step-by-step explanation:

Please refer to the Image attached to this.

The Line passing through the rainbow represents the Airplane Trajectory.

2.

a) Domain and Range :

Domain is the set of values of which a function is satisfied. Range is the set of all possible output values from a function. In this problem, referring to the image attached , we can see that the , we have some or other value of y for every x . That means that, it is defined for every real value in x. Hence the Domain will be Set of all real numbers . Where as the maximum value of y we have in this problem is 36. But y has no end towards negative side. Hence the possible outcomes are from negative infinity to 36. Hence range will be (-∞,36] , where 36 is included.

Domain = R

Range = (-∞,36]

b) x and y intercepts represents the distance of points where a graph cuts the both axes from the center. Please refer to the image attached. Here we can see that for our function $y=-x^2+36$

X intercepts are   = ±6 as they cut x axis on two points ( -6,0) and (6,0)

Y intercept = 36 as graph cuts y axis at one point (0,36)

c) The linear function will the equation of line passing through (-5,11) and (4,20)

The slope of line will be

$m=\frac{20-11}{4-(-5)}$

m=1

Hence the function has a positive slope here , and hence we can say that it is a positive function.

The equation will be

$\frac{y-20}{x-4}=1$

y-20=x-4

$y=x+16$

d)

now we are having two equations.

i) $y=-x^2+36$

ii) $y=x+16$

The solution of above two system of linear equation will be the points at which they intersect. Referring to the image attached we can see that they are intersecting at (-5,11) and (4,20) . Hence x=-5 & 4 are the solution to the system of equation we have now.

Question 3:

Please refer to the Image attached for the piece wise function

Here we have assumed two function with condition like given under

y=x+1    { x ≤ 3 }

y=4       {x > 3}

for values less than or equal to 3 , we have our function as y=x+1

let us graph this by joining two coordinates

x=0,  y =1

x=1 , y= 2

x=3 , y=4

Hence we have two coordinates as (0,1) and (1,2)

we join them and limit it upto only (3,4)

because for values x>3 , the function will result us , y=4

which is a constant function , hence for every value of x . 3 , we will have 4 as output. Hence it will represent a straight line parallel to the x axis at a distance of 4 units from it.