As x increases beyond 25 which function will have the largest value? A. f(x)= 1.5x ) B. h(x)= 1.5x squared) C. g(x)= 1.5x+3,) D. k(x)=1.5x to the third + 1.5x squared) explain and show work please ​

As x increases beyond 25 which function will have the largest value A fx 15x B hx 15x squared C gx 15x3 D kx15x to the third 15x squared explain and show work p class=

Respuesta :

Answer:

The function with the largest value will be [tex]f(x)=1.5^{x}[/tex]

Step-by-step explanation:

we know that

As x increases beyond 25 , that means

x> 25

so

Assume  x=30

Substitute the value of x in each equation and find the value of the function, and then compare the results

case 1) [tex]f(x)=1.5^{x}[/tex]

For x=30

[tex]f(30)=1.5^{30}=191,751.06[/tex]

case 2) [tex]h(x)=1.5x^{2}[/tex]

For x=30

[tex]h(30)=1.5(30)^{2}=1,350[/tex]

case 3) [tex]g(x)=1.5x+3[/tex]

For x=30

[tex]g(30)=1.5(30)+3=48[/tex]

case 4) [tex]k(x)=1.5x^{3} +1.5x^{2}[/tex]

For x=30

[tex]k(30)=1.5(30)^{3} +1.5(30)^{2}=41,850[/tex]

therefore

The function with the largest value will be [tex]f(x)=1.5^{x}[/tex]

As x increases beyond 25, the function that will have the largest value is f(x) = 1.5ˣ

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

x increases beyond 25, let x = 26, hence:

a) f(26) = 1.5²⁶ = 37876.75

b) h(26) = 1.5(26)² = 1014

c) g(26) = 1.5(26) + 3 = 42

d) k(26) = 1.5(26)³ + 1.5(26)² = 27378

As x increases beyond 25, the function that will have the largest value is f(x) = 1.5ˣ

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