Match the graph of the rational function f ( x ) = a x + b c x + d with the given conditions. (a) (b) (c) (d) (i) a > 0 b < 0 c > 0 d < 0 (ii) a > 0 b > 0 c < 0 d < 0 (iii) a < 0 b > 0 c > 0 d < 0 (iv) a > 0 b < 0 c < 0 d > 0
Match the graph of the rational function f ( x ) = a x + b c x + d with the given conditions. (a) (b) (c) (d) (i) a > 0 b < 0 c > 0 d < 0 (ii) a > 0 b > 0 c < 0 d < 0 (iii) a < 0 b > 0 c > 0 d < 0 (iv) a > 0 b < 0 c < 0 d > 0
Solution Summary: The author explains how to determine which of the given conditions will match with the graph for the function (3).
If a function is defined as f(x)=Ax2+Bx+Cf(x)=Ax2+Bx+C, then the graph of the function is a parabola and the vertex of the parabola is (−B2A,f(−B2A))(-B2A,f(-B2A))
Find the vertex of the parabola.
(b.) The function, f(x) = ax' -bx² +cx-12 , has a remainder 30 when divided by
x - 3. If (x-2) and (x+3) are factors of f(x). Find the values of a, b, and c and hence the
zeros of f(x).
. Let f(x) = 8x? and g(x)
a. Find (f+ g)(x).
b. Find (f – g)(x).
c. Find (f g)(x).
d. Find (2) (x).
e. Find (f+ g)(4)
f. Find (f – g)(-1)
Find (2) (1)
g.
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