Identify the functions that have the given property.

The domain is all real numbers for .
An x-intercept is (pi,0) for .
The minimum value is –1 for .
An x-intercept is (pi/2,0) for .

Answers
1, both the sine and cosine function
2, the sin function
3, both the sine and cosine function
4, the cosine function

The function could be y = -cos x

Step-by-step explanation:

One x-intercept is (pi,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 domain of f(x) = cos(x) is all real numbers.

The minimum value is -1, then the amplitude must be -1: y = - 1 cos x

The y-intercept is (0,1) then it is the function y = cos x, reflected around the x-axis: y =  cos x

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!