ggfranklin44331
ggfranklin44331 ggfranklin44331
  • 21-01-2022
  • Mathematics
contestada

Using the three steps, determine the value of A such that f(x) is continuous everywhere.

f(x) = x - 3 x < 2
-1 x = 2
x^2 + Ax-5 x > 2

Using the three steps determine the value of A such that fx is continuous everywhere fx x 3 x lt 2 1 x 2 x2 Ax5 x gt 2 class=

Respuesta :

Algebraic122 Algebraic122
  • 21-01-2022

Answer:

a=0

Step-by-step explanation:

When x=2, it is at -1, so the left and right side of x=2 must approach -1, in order for it to be defined, and must be undefined at x=1 to be continuous.

We plug in 2 in the bottom equation and set it equal to -1.

[tex]( {2}^{2} + a(2) - 5 = - 1[/tex]

[tex]4 + 2a - 5 = - 1[/tex]

[tex]2a = 0[/tex]

[tex]a = 0[/tex]

So

A=0

Answer Link

Otras preguntas

The net of a clyinder is shown below
summarize the character traits of nick carraway and use direct and indirect from chapters 1 and 2 to support your answer
Analyze 3 ways in which stress can be seen as an opportunity for personal growth and development in a young person
“O Captain! My Captain!” is an allegory—every aspect of it stands for something else. (a) Analyze If the captain is the slain President Lincoln, what is represe
How many ways are there to select 9 countries in the United Nations to serve on a council if 1 is selected from a block of 53, 1 are selected from a block of 66
Can someone please help me with either one of these and show how to solve it? I can’t figure out how to solve any
Before Europeans arrived in america, slavery wasnt based on race, but on
What are the impacts of photochemical smog?
What does this sentence mean, the systems approach suggested that the public organization could be viewed in the same way as a biological system as a whole “or
9|3-5|-5|4|÷10÷-3(5)-2×4÷2