Question

Compare the functions shown below:


g(x)
f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3


Using complete sentences, explain which function has the greatest y-intercept.

Answer 1

To determine which function has the greatest y-intercept, we need to compare the y-intercepts of each function. The y-intercept is the point where the graph of a function intersects the y-axis, which occurs when x is equal to 0.

Let's analyze each function:

1. g(x): The function g(x) is not explicitly defined in the question, so we cannot determine its y-intercept. Without further information, we cannot compare it to the other functions.

2. f(x) = -3x + 2: This is a linear function in the form of y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the y-intercept is 2, as the value of x is 0.

3. h(x) = 4 sin(2x + π) + 3: This is a sinusoidal function, specifically a sine function, with a vertical shift of 3 units upward. The y-intercept occurs when x is 0, and substituting x = 0 into the equation, we get h(0) = 4 sin(π) + 3 = 0 + 3 = 3.

Comparing the y-intercepts of f(x) and h(x), we find that f(x) has a y-intercept of 2, while h(x) has a y-intercept of 3. Therefore, h(x) = 4 sin(2x + π) + 3 has the greatest y-intercept among the given functions.

Answer 2

15 medals :O

Answer 3

boyyyyy

Answer 4

wilddd

Answer 5

Damnn