Graph and Analyze an Exponential Function Progress is being made on the incidence of measles in an African country, as a result of an accessible vaccination program. The number of diagnosed cases in thousands as a function of time, t , in years from 2016 is given by () = 16(2 1− ) − 1 a) Inspect the function and explain why this equation represents a decreasing function. b) State the equation of the horizontal asymptote. c) Find the intercepts and graph the function. Can the One-to-One Property of Exponentiation be used to find the t-intercept? d) State the practical domain and range of this function in interval notation.

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step-by-step explanation:

54.864 meters

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

answer: b

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