Match each function to the equation of the tangent line to its graph at x = 2.
f(x) = x2 + 6x − 16
y = 48 – 11x
g(x) = x2 − 49x − 456
y = 12x + 67
h(x) = -x2 − 7x + 44
y = 95x – 96
i(x) = x2 + 169x + 820
y = 10x – 20
j(x) = x2 + 91x − 92
k(x) = x2 + 15x + 56
l(x) = -x2 + 16x + 63

1) The function is:

At x=2,

Find the first derivative,

Find the slope at x=2

The equation of the tangent line is given by:

Therefore

2) The given function is

The equation of the tangent is

3) The function is

Now

The first derivative is

The equation of tangent at:

x=2

is there a picture

step-by-step explanation: