Answer: -1 and -2 ..... 4 ..... 1 ..... touches ..... crosses
Step-by-step explanation:
f(x) = -(x + 1)(x + 2)⁴
0 = -1 0 = x + 1 0 = x + 2
not valid x = -1 x = -2
far right far left
M of 1 M of 4
crosses touches
odd number multiplicity cross the axis, even number touches the axis
*****************************************************************************************
Answer: even ..... negative ..... 8 ..... -4, 2 ..... -2, 1 ..... 1, 1 ..... B
Step-by-step explanation:
There is a double root at x = -4, one root at x = -2, and another root at x = 1. In total, that is 4 roots (degree is 4) so it is an even function (because 4 is an even number).
The end behavior of the right side is "negative infinity", so the leading coefficient is negative.
The y-intercept (where the graph crosses the y-axis) is 8, so the constant is 8.
The roots (as stated above) are:
x = -4 x = -2 x = 1
far left middle far right
M = 2 M = 1 M = 1
If it touches, it is an even numbered exponent/multiplicity. If it crosses, it is an odd numbered exponent/multiplicity.
f(x) = - (x + 4)²(x + 2)(x - 1) --> B is the graph that fits this pattern.
