PA HELP PO PLEASE!
1.) if f(x)=xn defines a polynomial function, then what should be the value of n.
A. an integer B. any number except zero C. a positive number d. any number
2.) the following are examples of polynomial function EXCEPT.
A. f(x)=x-1 B. f(x)=x²-√2x C. f(x)=1/2x⁴+3
D. f(x)=x⅓+4x³
3.) what is the degree of the polynomial function f(x)=3x²+4x+8x⁴-6?
A. 1 B. 2 C. 4 D.6
4.) what is the leading coefficient of the polynomial function f(x)=5x+x³+12x⁴+24?
A. 1 B. 5 C. 12 D. 24
5.) a polynomial function whose degree is 2. A. Linear function B. quadratic function
C. cubic function D. quartic function
6.) which of the following is the standard form of the function f(x)=-x²+5x³+8?
A. f(x)=8-x²+5x³ B. f(x)=5x³+8-x²
C. f(x)=-5x³+x²-8 D. f(x)=5x³-x²+8
7.) in a polynomial function f(x)=-3x³+4x²-8x, what is the value of the leading coefficient?
A. -1 B. 0 C. 1 D.-3
8.) what is the constant term in a polynomial function in item #7?
A. -1 B.0 C. 1 D.-3
9.) your classmate john asks your help in drawing a rough sketch of the graph of y= -(x²+1)(2x⁴-3) by means of the leading coefficient test. how will you explain the behavior of the graph?
A. the graph is falling to both left and right
B. the graph is rising to both left and right
C. the grass is falling to the left and rising to the right
D. the graph is rising to the left and falling to the right
10.) if you will draw the graph of y = x (x+4)², how will you sketch it with respect to the x-axis?
A. sketch it crossing both(-4,0) and (0,0)
B. Sketch it tangent at (-4,0) and crossing(0,0)
C. Sketch it crossing (-4,0) and the tangent at (0,0)
D. Sketch in tangent at both (-4,0) and (0,0)
11.) what is the behavior of the graph of a polynomial function when it passed through a root of even multiplicity?
A. tangent to x-axis
B. crosses the x-axis
C. parallel to x-axis
D. perpendicular to x-axis
12.) mr cruz the famous perfume manufacturer determines that its profit p, and thousands of pesos can be modeled by by the function P(x)=0,00143x⁴-2x+5, where x represents the number of perfumes sold. what is profit at x=105?
13.) a demographer predicts that the population P, of a town t years from now can be modeled by the function P(t) =5t⁴-2t³+300t+15000. What will be the population of the town three (3) years from now?
A. 15,125 B.15,251 C. 16,125 D. 16,251
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