Which is the graph of the function f of x is equal to x cubed plus x squared plus x plus 1 ?
Answer
A
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis. Both axes are labeled from negative 4 to 4. The curve begins in the third quadrant, with an arrowhead pointing downward near the coordinates negative 1 point 2 comma negative 4. Moving upward and to the right, the curve passes through the grid intersection at negative 1 comma negative 2. The curve crosses the vertical y-axis at the point 0 comma negative 1. From there, the curve turns upward more steeply, crossing the horizontal x-axis between 0 and 1, and passes through the grid intersection at 1 comma 2.
B
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis. Both axes are labeled from negative 4 to 4. The curve begins in the fourth quadrant, with an arrowhead pointing downward near the coordinates negative 1 point 2 comma negative 4. Moving upward and to the right, the curve passes through the grid intersection at negative 1 comma negative 2. It then curves more gradually, crossing the horizontal x-axis between negative 1 and 0, and passes through the vertical y-axis at the point 0 comma 1. From there, the curve turns upward more steeply, passing through the grid intersection at 1 comma 4.
C
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis. Both axes are labeled from negative 4 to 4. The curve begins in the fourth quadrant with an arrowhead pointing downward near the coordinates 0 point 5 comma negative 4. Moving upward and to the right, the curve passes through the grid intersection at 1 comma negative 2. It then curves more gradually, flattened near the grid intersection at 2 comma negative 1. From there, the curve turns upward more steeply, crossing the horizontal x-axis between 2 and 3, and passes through the grid intersection at 3 comma 2. It continues upward into the first quadrant, ending with an arrowhead pointing upward near the coordinates 3 point 2 comma 4.
D
Image with description A coordinate plane displays the x-axis labeled from negative 4 to 4 in increments of 1 and the y-axis labeled from negative 4 to 4 in increments of 1. An increasing curve enters from below near 0.2 comma negative 4, rises steeply, passes through approximately 1 comma 0 and 2 comma 1.