Respuesta :
'' For the functionf(x) = -6(1.02)^x
The y-intercept can be determined when x = 0f(0) = -6(1.02)^0f(0) = -6
For the function g(x)At x = 0, the value of g(0) = -3
Therefore, comparing the y-intercepts of the two functions, the answer is:B. The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).''
The y-intercept can be determined when x = 0f(0) = -6(1.02)^0f(0) = -6
For the function g(x)At x = 0, the value of g(0) = -3
Therefore, comparing the y-intercepts of the two functions, the answer is:B. The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).''
The correct answer is option D. The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
What is the y-intercept of a function?
The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At the y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
The functions f(x) and g(x) are described using the following equation and table:
[tex]f(x) = 4(1.02)^x[/tex] x g(x) −1 −4 0 6 1 8 2 10
The y-intercept is the value of the function for x = 0.
Then, the y-intercept of [tex]f(x) = 4(1.02)^x[/tex]
[tex]4 (1.02)^0 = 4(1) = 4[/tex]
And the y intercept of g(x)
x = 0
g(x) = 6.
So, you can see that
g(x) = 6 = 4 + 2 = y-intercept of f(x) + 2.
The correct answer is option D. The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
Learn more about y-intercept here:
https://brainly.com/question/16540065
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