Algebra II 4.02: Power Functions

What is the end behavior of the graph?

If the graph looks like a squiggly line, it is As x approaches infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches infinity.

What is the degree of the power function represented in the table?

If the table looks something like this, -2 -8 -1 -1 0 0 and so on... The answer is 3.

What is the degree of the power function represented in the table?

If the table looks something like, −2 4 −1 1 0 0 and so on... the answer is 2.

Which graph represents g(x)=1/3x^3 ?

The answer is the graph that looks like a a squiggly line. The top half of the line should be in the 1st quadrant while the bottom half of the line should be in the 3rd quadrant.

Which graph represents f(x)=−1/2x^3

The answer is the graph that looks like a a squiggly line. The top half of the line should be in the 2nd quadrant while the bottom half of the line should be in the 4th quadrant.

Which graph represents f(x)=−2x^3 ?

The answer is the graph that looks like a a squiggly line. The top half of the line should be in the 2nd quadrant while the bottom half of the line should be in the 4th quadrant.

Which graph represents f(x)=−2x^2

The graph should look like an upside down U.

Which graph represents f(x)=−2x^4

The graph should look like an upside down U.

Which functions have graphs that are steeper than the graph of f(x)=−3x^2 ?

g(x) = -4x^2 m(x)= 4x^2

Which functions have graphs that are less steep than the graph of f(x)=2x^2

h(x) = -2x^2 j(x) = -x^2