Answer :
Answer:
Step-by-step explanation:
This is an exponential decay graph, so the value of b is going to be less than 1 but greater than 0. Let's look at some coordinates on this graph to easily find "b":
(-2,4),(-1,2),(0,1),(1,0.5)
As you can see, we get from one y value in a coordinate to the next y value in the coordinate next to it by dividing by 2. Therefore, the value of b is 1/2.
Answer:
b = 0.5 or 1/2
Step-by-step explanation:
Interpreting a Graph
For an equation or function, a line can be drawn that shows the possible x-values that can be plugged in and, its correlating y-values.
For any coordinate point on a line, the x-value is a possible "input" value into the function/equation and the y-value is the "output" that the function/equation evaluates to.
Solving the Problem
On the graph we're shown the point (-1,2). This means that when x = -1, the y-value should equal to 2 or,
[tex]2=b^-^1[/tex].
Using the exponent property of [tex]a^-^c=\dfrac{1}{a^c}[/tex], for some base a and some integer exponent c, the right side of the equation simplifies to,
[tex]2=\dfrac{1}{b}[/tex].
Now we rearrange to find the value of b!
[tex]2b=1[/tex]
[tex]b=\dfrac{1}{2}[/tex]
