For the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value. y=f(x)=x^2+x; x=-1, x=2 (a) The equation of the secant line is y= (b) The equation of the tangent line is y= type your answer in slope intercept form

Step-by-step explanation:

Given  is a function as

two values of x are x=-1 and x=2

Corresponding y values are

y(-1) = 1-1 =0 and

y(2) = 4+2 =6

Hence the two points are (-1,0) and (2,6)

Secant line equation can be obtained using two point formula for straight lines

a) Secant line joining (-1,0) and (2,6) is

\

is the equation of the secant line

b) to find equation of tangent line

Slope of tangent line at (-1,0) = value of derivative at that point

So m =-1 and one point on the line is point of contact (-1,0)

So using point slope formula

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted