Question

Which function has the given properties below? The domain is the set of all real numbers.

One x-intercept is ( pi/2 , 0)

The maximum value is 3.

The y-intercept is (0,-3)

Answer 1

Answer: the ansswre is b

Step-by-step explanation:The domain of the cosine function is the set of all real numbers.The maximum value is 3, then the amplitude must be 3: y = 3 cos xThe y-intercept is (0,-3) then it is the functio y = 3 cos x, reflected around the x-axis: y = - 3 cos x

Answer 2

Answer: The function could be y= - 3 cos x

Solution:

One x-intercept is (pi/2,0): We can use a trigonometric function like cosine that has x-intercept (pi/2,0).

The domain of the cosine function is the set of all real numbers.

The maximum value is 3, then the amplitude must be 3: y = 3 cos x

The y-intercept is (0,-3) then it is the functio y = 3 cos x, reflected around the x-axis: y = - 3 cos x