What is the range of the function shown on the graph?

What's the smallest y can get? That would be y = -6; however, it does not actually get to -6. Instead it approaches to get closer and closer. This is due to the horizontal asymptote at y = -6.

What's the largest y can get? There is no upper bound. The y values grow forever because of the arrow indicating as such.

Therefore, the range is which written in interval notation would be

The range is all real numbers when y > -6

Step-by-step explanation:

The range is all real numbers when y > -6 because this includes all possible y-values that are greater than -6. This could go all the way up to infinity on the y-axis.

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.