Given f(x)=-3x² + 12x-5. Find the following: a) The vertex ( b) The parabola opens ---Select--- Plot the vertex first and then plot an additional point.

Is λ = -3 an eigenvalue of A = -1 4 69 Choose the correct answer below. ? Why or why not? O A. No, λ is not an eigenvalue of A because Ax = λx only has the trivial solution. Yes, λ is an eigenvalue of A because Ax = 0 only has the trivial solution. O B. O C. No, λ is not an eigenvalue of A because Ax = λx has a nontrivial solution. D. No, λ is not an eigenvalue of A because Ax = 0 only has the trivial solution. O E. Yes, λ is an eigenvalue of A because Ax = λx has a nontrivial solution. O F. Yes, λ is an eigenvalue of A because (A-AI) is invertible.

Suppose thatf(x) = (x+ 5)^3(x-2)^4. Find the x-coordinates of all points of inflection.

When g(x)=5x^2-5x+2, evaluate g(-3)

What is the end behavior for the given polynomial: F(x)=-7x^4+4-7x+x^2-x^3

Evaluate f(-3) for (x)=x^3+3x+17

For the given function, determine the y-intercept value f(x)=7x^3+7x-4-9x^2

For the function f(x)=-2^2+5x+2 find: f(-2) find: f(a+h)-f(a)

Find all the zeros for f(x)=6x^3+294x

State the domain of  f(x) =  8^ √ 5 − 2x .  Enter your answer using interval notation. The domain is