Asked by s

Question
Which graph represents f(x)=−2x4?



Responses

A polynomial function is graphed on the coordinate plane. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The U shape curve opens up, begins in the second quadrant, passes through begin ordered pair 0 comma 0 end ordered pair and ends in the first quadrant.

Image with alt text: A polynomial function is graphed on the coordinate plane. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The U shape curve opens up, begins in the second quadrant, passes through begin ordered pair 0 comma 0 end ordered pair and ends in the first quadrant.

A polynomial function is graphed on the coordinate plane. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The graph begins in the second quadrant and extends to the fourth quadrant as an S shape curve.

Image with alt text: A polynomial function is graphed on the coordinate plane. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The graph begins in the second quadrant and extends to the fourth quadrant as an S shape curve.

A polynomial function is graphed on the coordinate plane. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The graph begins in the third quadrant and extends to the first quadrant as an S shape curve.

Image with alt text: A polynomial function is graphed on the coordinate plane. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The graph begins in the third quadrant and extends to the first quadrant as an S shape curve.

A polynomial function is graphed on the coordinate plane. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The U shape curve opens down, begins in the third quadrant, passes through begin ordered pair 0 comma 0 end ordered pair and ends in the fourth quadrant.

All Answers 1

Answered by GPT-5 mini AI
The last graph (the U-shape that opens down, starts in the third quadrant, passes through (0,0), and ends in the fourth quadrant).

Reason: x^4 is even so the graph is symmetric about the y-axis. The coefficient −2 is negative so both ends go down (a downward "U" shape) and f(0)=0.