Use the intermediate value theorem to verify the given polynomial has at least one zero “ci” in the intervals specified. Do not find the zeroes H(x)=2x^4+3x^3-14x^2-9x+8 a. [-4, -3] b. [-2, -1] Ple

Use the intermediate value theorem to verify the given polynomial has at least one zero “ci” in the intervals specified. Do not find the zeroes

H(x)=2x^4+3x^3-14x^2-9x+8

a.   [-4, -3]

b.  [-2, -1]

Please show work

. Section 3.2 #40 Use the remainder theorem to evaluate P(x) as given.

P(x)=x^4+3x^3-2x-4

a.   P(-2)

b.   P(2)

Please show work

Given the function, clearly state the basic function and what shifts are applied to it, & Section 4.3 #36 Write the equation in logarithmic form. determine the asymptote,

y=3^-x

Please show work

 Find two points that lie on the graph. You do not need to sketch the graph.

e*¾ ≈ 2.117