Respuesta :

hisroyal1
y = b^x

when x = 1
y = b^1
y  = b

Therefore, the value of b is the same as the value of y when x =1
From the graph,
When x = 1, y = 0.5
Therefore, b = 0.5


To confirm this

From the graph,

When x = -1, y = 2
Since y = b^x
2 = b^-1
2 = 1/b
2b = 1
b = 0.5

When x = -2, y = 4
Since y = b^x
4 = b^-2
4 = 1/(b^2)
b^2 = 1/4
b = √(1/4)
b = 1/2
b = 0.5

Therefore, it is conformed that b = 0.5
MrRoyal

Functions can be represented as equations, and equations can be represented as functions.

The value of b is 1/2

The graph is given as:

[tex]\mathbf{y = b^x}[/tex]

From the graph, we have the following point:

(x,y) = (-1,2)

Substitute these values in the function

[tex]\mathbf{2 = b^{-1}}[/tex]

Rewrite as:

[tex]\mathbf{2 = \frac{1}{b}}[/tex]

Multiply both sides by b

[tex]\mathbf{2b = 1}[/tex]

Divide both sides by 2

[tex]\mathbf{b = \frac{1}2}[/tex]

Hence, the value of b is 1/2

Read more about graphs and functions at:

https://brainly.com/question/18806107

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