Respuesta :
Answer:
1
Step-by-step explanation:
The y-intercept of any function is the point where it crosses through the y-axis. Since the x-value for every point on the y-axis is 0, this means the y-intercept will have an x-coordinate of 0. For the linear function, f(x), the y-intercept is (0, 3).
We are missing some values of the exponential function. We have (-1, 2/3), (2, 18), and (3, 54).
We know it is exponential, which means we know that the y-value of each point is multiplied by a constant to get the next y-value. Comparing (2, 18) and (3, 54), we see that the y-values are multiplied by 3.
Working backward from this, we figure out that the y-value for the point with an x-coordinate of 1 will be 18/3 = 6.
The y-coordinate of the point with an x-coordinate of 0 will be 6/3 = 2.
This means the y-intercept of the function g(x) will be (0, 2).
This makes the difference between the y-intercepts 3-2 = 1.
The positive difference in the y-intercept value of f(x) and g(x) is: 1
Y- Intercept: The point where a line or curve crosses the y-axis of a graph.
For y - intercept find the y value when x equals 0.
For the linear function, f(x),
y-intercept is (0, 3) [As x coordinate is zero at y=3]
We have values from the exponential function g(x) as:
(-1, 23), (2, 18), and (3, 54).
We know it is exponential, which means we know that the y-value of each point is multiplied by a constant to get the next y-value.
Now, comparing (2, 18) and (3, 54), we observe that the y-values are multiplied by 3.
Working backward from this,
x-coordinate = 1
y-value = [tex]\frac{18}{3}[/tex]
= 6.
Again, y-coordinate
[tex]=\frac{6}{3} \\=2[/tex]
x-coordinate = 0
So, the y-intercept of the function g(x) is: (0, 2).
The difference between the y-intercepts:
= 3-2
= 1
Therefore, the positive difference in the y-intercept value of f(x) and g(x) is 1.
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