2. Polynomials and Analysis of Nonlinear Functions
2.06 Graphs and characteristics of polynomial functions
Interactive practice questions
Determine the relationship between the degree of a polynomial function and the number of turning points on its graph.
A polynomial function that has degree $n$n has a graph with exactly $n$n turning points.
A
A polynomial function that has degree $n$n has a graph with exactly $n-1$n−1 turning points.
B
A polynomial function that has degree $n$n has a graph with at most $n$n turning points.
C
A polynomial function that has degree $n$n has a graph with at most $n-1$n−1 turning points.
D
Easy
1min
Consider $P\left(x\right)=4x^5+3x^6-8$P(x)=4x5+3x6−8
Easy
3min
For the polynomial $P(x)=$P(x)=$4-\frac{7x^6}{6}$4−7x66
Easy
3min
If $P\left(x\right)=\left(x^4+5\right)\left(4-3x^5\right)$P(x)=(x4+5)(4−3x5)
Easy
6min
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