WeBWorK : mathprep : Section11EvaluationGraphingTest : v7

Problem 1.

(1 point)

What are the coordinates of the point $P$ in the following graph of $y = \ln(x)$ ?
$x,y =$

(Enter the parts of your answer in order, separated by a comma.)

graph of a curve with vertical asymptote at the negative y-axis with positive slope and negative concavity. the x-intercept is P, and at x=e the point on the curve (which has y>0) is labeled Q.

preview answers

Problem 2.

(1 point)

What are the coordinates of the point $Q$ in the following graph of $y = (x-8)^{1/3}$ ?
$x,y =$

(Enter the parts of your answer in order, separated by a comma.)

graph of a curve extending from a negative y-intercept P to bend upwards to a positive x-intercept Q, where it reverses concavity while continuing through larger y-values.

preview answers

Problem 3.

(1 point)

What is the slope of the blue line segment? The black function is $y = x(5 - x)$ .
slope =

graph of the an downward opening parabola with x-intercepts at x=0 and x greater than 3, with a blue line segment joining the points on the parabola with x=1 and x=3.

preview answers

Problem 4.

(1 point)

What is the area of the blue rectangle? The graphed function is $y=-x(x+3)$ .
area =

graph of a downwards opening parabola with x-intercepts of x=-3 and x=0. the blue rectangle has a base lying along the x-axis between x=-3 and x=-1, and upper-right corner on the parabola.

preview answers

Problem 5.

(1 point)

What are the coordinates of the point $P$ in the following graph of $y = -(x + 1.3)(x - 2.1)$ ?
$x,y =$

(Enter the parts of your answer in order, separated by a comma.)

graph of a downward opening parabola with x-intercepts P and R (P to the left of the y-axis) and y-intercept Q.

preview answers

Problem 6.

(1 point)

What is the area of the blue rectangle? The graphed function is $y=x^3+2$ .
area =

graph of a function with positive y-intercept, curving upwards through the first quadrant. the blue rectangle has a base lying along the x-axis between x=1 and x=1.5, and upper-left corner on the function.

preview answers

Problem 7.

(1 point)

What are the coordinates of the point $P$ in the following graph of $y = -x^3-2x+3$ ?
$x,y =$

(Enter the parts of your answer in order, separated by a comma.)

graph of a curve extending downwards through the first quadrant, with positive y-intercept P and positive x-intercept Q.

preview answers

Problem 8.

(1 point)

What are the coordinates of the point $P$ in the following graph of $y = \cos(x)+2$ ?
$x,y =$

(Enter the parts of your answer in order, separated by a comma.)

graph of a sinusoidal curve with a maximum at its y-intercept, labeled P, and first minimum Q, in the first quadrant and above the x-axis.

preview answers

Problem 9.

(1 point)

What is the area of the blue rectangle? The graphed function is $y=2x(x-1)$ .
area =

graph of an upward opening parabola in the first quadrant, having x-intercepts at zero and a positive x-value between x=0 and x=2. the blue rectangle has a base lying along the x-axis between x=2 and x=4, and upper-left corner on the parabola.

preview answers

Problem 10.

(1 point)

What are the coordinates of the point $P$ in the following graph of $y = (x-8)^{1/3}$ ?
$x,y =$

(Enter the parts of your answer in order, separated by a comma.)

preview answers

Test Section11EvaluationGraphingTest

Problem 1.

Problem 2.

Problem 3.

Problem 4.

Problem 5.

Problem 6.

Problem 7.

Problem 8.

Problem 9.

Problem 10.