For the given function, find the points on the graph at which the tangent line has slope 1.y = x3 - 2x2 + 4x + 1

A. (0, 3) and (3, 3)
B. (1, 3) and (3, 4)
C.  and (3, 4)
D.  and (3, 4)


Answer: D

Mathematics

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Perform the indicated operation(s). Where possible, reduce the answer to lowest terms. - 

A.
B.
C.
D.

Mathematics

Find the zeros of the polynomial function and state the multiplicity of each.f(x) = 4(x + 4)3(x - 4)(x - 4 + i)

A. 4 (multiplicity 3), -4 (multiplicity 1), -4 + i (multiplicity 1) B. -4 (multiplicity 3), -4 (multiplicity 1), 4 - i (multiplicity 1) C. 4 (multiplicity 3), 4 (multiplicity 1), 4 - i (multiplicity 1) D. -4 (multiplicity 3), 4 (multiplicity 1), 4 - i (multiplicity 1)

Mathematics

Factor the expression.x2 + 15x

A. x(x2 + 15) B. x2(1 + 15x) C. x(x + 15) D. No common factor

Mathematics

Write the function using function notation. Let x be the independent variable and y be the dependent variable. Use the letter f to name the function.y = x2 + 2x - 5

A. y = f(x) - 5 B. f(x) = x2 + 2x - 5 C. y = f(x)2 + 2f(x) - 5 D. f(x) = x2 + 2x

Mathematics