xavia125
xavia125 xavia125
  • 24-03-2020
  • Mathematics
contestada

Why is b ≠ 1 a condition for f(x) = ab^x?

Respuesta :

danielmaduroh
danielmaduroh danielmaduroh
  • 31-03-2020

Explanation:

In this case, we hace the following exponential function:

[tex]f(x)=ab^x[/tex]

Where:

[tex]a:Initial \ value \\ \\ b:the \ base[/tex]

The base [tex]b\neq 1[/tex] because 1 raised to any power leads the result of 1. That is:

[tex]1^2=1 \\ \\ 1^3=1 \\ \\ 1^{\sqrt{3}}=1 \\ \\ \\ In \ conclusion: \\ \\ 1^{n}=1, \ \text{n any real number}[/tex]

If so, then we won't get an exponential function, but a constant function:

[tex]f(x)=a[/tex]

Answer Link

Otras preguntas

Explain how these substances could cause ill health to human beings
If AX:XB as AB:AC, find the missing length. AX = 5, XB = 4, AC = 6, find AB. 24/5 10/3 15/2
Genetic characteristics that we can't control include
a regular hexagon measures 3x+5 units on each side. What is the perimeter in the simplest form?
evaluate the expression below for s=5 and t=7. 3st to the second power and s to the secon
Which of the graphs below represent the function f(x) = x3 − 5x2 + 2x + 8? You may sketch the graph to compare. graph going through x axis at negative 2, posi
6r+7=13+7r how do you solve this?
What is the value of the 4's of 305,444
Why didn’t Britain want to give the colonies their independence?
Ken used a piece of lumber to build a bookshelf. If he made three shelves that are each 2 1/2 feet long, how long was the piece of lumber?