2x-5

Enter function

With the function that you entered of 2x - 5, plot points, determine the intercepts, domain, range

Since you did not specify a qualifying variable or function notation in your expression, we will assume y
y = 2x - 5

Determine function type:

Since we have a variable with no exponents:
this is a linear function

Since this is a linear function
it is a direct variation equation. The constant of proportionality is 2

Now Plot points from 10 to -10

x	Plug in x	ƒ(x) = 2x - 5	Ordered Pair
-10	2(-10)-5	-25	(-10, -25)
-9	2(-9)-5	-23	(-9, -23)
-8	2(-8)-5	-21	(-8, -21)
-7	2(-7)-5	-19	(-7, -19)
-6	2(-6)-5	-17	(-6, -17)
-5	2(-5)-5	-15	(-5, -15)
-4	2(-4)-5	-13	(-4, -13)
-3	2(-3)-5	-11	(-3, -11)
-2	2(-2)-5	-9	(-2, -9)
-1	2(-1)-5	-7	(-1, -7)
0	2(0)-5	-5	(0, -5)
1	2(1)-5	-3	(1, -3)
2	2(2)-5	-1	(2, -1)
3	2(3)-5	1	(3, 1)
4	2(4)-5	3	(4, 3)
5	2(5)-5	5	(5, 5)
6	2(6)-5	7	(6, 7)
7	2(7)-5	9	(7, 9)
8	2(8)-5	11	(8, 11)
9	2(9)-5	13	(9, 13)
10	2(10)-5	15	(10, 15)

Determine the y-intercept:

The y-intercept is found when x is set to 0. From the grid above, our y-intercept is -5

Determine the x-intercept

The x-intercept is found when y is set to 0
The y-intercept is found when y is set to 0. From the grid above, our x-intercept is 0

Determine the domain of the function:

The domain represents all values of x that you can enter
The domain is (-∞, ∞) or All Real Numbers

Determine the range of the function:

The range is all the possible values of y or ƒ(x) that can exist
The range is (-∞, ∞) or All Real Numbers