what is the domain and range of y=9x+45?

Question

We haven't been taught this in class someone please help me!

Answer 1

Given function is y = 9x+45

For x = 1

y = 9*1+45 = 9+45 = 54

For x = 2

y = 9*2+45 = 18+45 = 63

For x = 3

y = 9*3+45 = 27+45 = 72

For x = 0

y = 9*0+45= 45

For x = -1

y = 9*-1+45 = 36

For x = -2

y = 9*-2+45 = -18+45 = 27

For x = -3

y = 9*-3+45 = -27+45 = 18

x value is half coordinte pair  and the y value is half coordinate pair of the intersection point.

X values are domain of the function and y values are range of the function.

If we let x be -3,-2,-1,0,1,2,3 respectively and substitue each value of x in to the function, then the set of order of pairs would be 18,27,36,45,54,63.

domain set of gven function is .(-3,-2,-1,0,1,2,3)

Range set of gven function is (18,27,36,45,54,63,72)

We can able to write coordinate pair is (-3,18), (-2,27), (-1,36),(0,45),(1,54),(2,63).

Answer 2

The equation is y = 9x + 45.

Make the table of values to find ordered pairs that satisfy the equation.

Choose values for x and find the corresponding values for y.

x	y = 9x + 45	(x, y )
- 10	y = (9)(- 10) + 45 = - 90 + 45 = - 45	(- 10, - 45)
- 5	y = (9)(- 5) + 45 = - 45 + 45 = 0	(- 5, 0)
0	y = (9)(0) + 45 = 0 + 45 = 45	(0, 45)
5	y = (9)(5) + 45 = 45 + 45 = 90	(5, 90)
10	y = (9)(10) + 45 = 90 + 45 = 135	(10, 135)

• Draw a coordinate plane.
• Plot the coordinate points.
• Then sketch the graph, connecting the points with a line.

Graph :

Since x can be any real number, there is an infinite number of ordered pairs that can be graphed. All of them lie on the line shown.

Notice that every real number is the x - coordinate of some point on the line.

Also, every real number is the y - coordinate of some point on the line.

So, the domain and range are both all real numbers, and the relation is continuous.