Identify the type of function represented by f(x)=3/8(4)^x a. exponential growth b. quadratic c. linear d. exponential decay

Option A - Exponential Growth

Step-by-step explanation:

Given :

To find : Identify the type of function given ?

Solution :    

The given function is in the form  

This form is an exponential form in which a is the initial value and b is the growth/decay rate factor.

If we compare the given expression,  

The initial value is  

and the growth/decay rate factor  

Since b>1 then it is a growth factor.

Refer the attached figure below.

Therefore, Option A is correct.

The function   is an exponential growth function.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12