Analysis of Function Graphs

Which of the following functions are "even?" Choose all that apply.

• $f\left(x\right)=-x^4-7x^6+2x^2$

• $f\left(x\right)=-x-x^7+x^3$

• $f\left(x\right)=9x+x^3$

• $f\left(x\right)=-x^6+x^2$

• $f\left(x\right)=-9-x^5+2x^3$

 $x^2+y^3=1$  is symmetric with respect to which of the following?
Choose all that apply.

• x-axis

• y-axis

• the line y = x

• the line y = -x

• none of those listed

Over what interval is this function constant?

• -5 < x < ∞
• -3 < x < 4
• 4 < x < ∞
• -5

When is this function increasing?

• -2.5 < x < 2.5
• 0 < x < 5
• 0 < x < 55
• -5 < x < 0

Which statement is true about this graph?

• This function is always constant
• This function is always increasing
• This function is never increasing
• This function is both increasing and decreasing

On which interval(s) is the given function increasing?

• (-∞, 2) U (-2, ∞)

• (-2, 2) U (-2, ∞)

• (-∞, -2) U (0.5, ∞)

• (0, 2) U (0.5, ∞)

Which ordered pair identifies the *absolute minimum* point on this function?

• (-1, 0)

• (0, -3)

• (1, -4)

• (4, 0)

Describe the intervals over which the given function is decreasing.

• (-∞, 0) U (2, ∞)

• (5, -4) U (2, -3)

• (-3, 0) U (2, 3)

• (5, -4) U (0, -3)

Which coordinate would qualify as the *absolute maximum* of this function?

• ∞

• (0, 4)

• 3

• (4, 0)