College algebra

there is questions on pdf, show full work and you can do graph on a paper. Thank you in advance…………………………

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b. F(x) = 3 (x + 4) 2 – 5 (8 pts)
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3. Given the following function. Complete the blanks to describe the end behavior of
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4. For the following functions, state each zero and its multiplicity. (2 pts)
a. 3(x + 2)(x +1)
b. f(x) = 2(x2 +1)(x – 3)2
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Math 103 Unit 3 Homework
А A
1. Sketch the graph of the following quadratic equations. To graph you must include the vertex
point and two points to the left and right of it. Indicate those points in the space below. Then
fill in the following spaces below. If there is not an answer, write non applicable.
a.
F(x) = -3×2 – 6x – 5 (8 pts)
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X Intercepts
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Axis of Symmetry
Domain in Interval Notation
Range in Interval Notation
Minimum or Maximum Value of Function
the given function. Explain your answer. ( 1pt)
5. Does the Intermediate Value Theorem guarantee there is a zero in the interval [-2, 3] for
f(x)= x’+4×2 – 1
6. Use long division to divide. (2pts)
a. (+’+4x* +18x? –20x – 20)+(+*+5)
b. 3×4 – 2×3 -15×2 + 22x – 8 = (3x – 2)
9. Use the remainder theorem to evaluate the polynomial for the given value of x. (2pts)
a. f(x)= 3×5 + 4×4 – 2×2 + 7x – 13; X – 2
b. f(x) = x4 -2×3 + 15x -2 : x + 2
10. Use the factor theorem to determine if the given binomial is a factor of f(x). (2pts)
a. 4×4 – 3×3 + 2×2 – 5x +8 ; X – 4
b. 2×5 + 3×4 – 10×3 + x2 + 6x – 18;x + 3