WeBWorK : mathprep : Section11EvaluationGraphingTest : v9

Problem 1.

(1 point)

What are the coordinates of the point $P$ shown in the following graph of $y = 3 + x$ and $y=x(x-1)$ ?
$x,y =$

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

graph of a line with positive slope and upward opening parabola. the line has positive y-intercept and intersects the parabola at P, where x is negative, and R, where x is positive. the parabola intersects the x-axis at the origin and at the point Q to the right of the origin.

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Problem 2.

(1 point)

What is the area of the blue rectangle? The graphed function is $y=x(5-x)$ .
area =

graph of a downward opening parabola y-intercept at the origin and maximum at a positive x value greater than 1. the blue rectangle has a base lying along the x-axis from x=0.5 to x=1 and top-left corner on the parabola.

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Problem 3.

(1 point)

What are the coordinates of the point $Q$ in the following graph of $y +2x - 3.04= 0$ ?
$x,y =$

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

graph of a downward sloping line extending across the 1st quadrant, with y-intercept P and x-intercept Q.

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Problem 4.

(1 point)

What are the coordinates of the point $Q$ shown in the following graph of $y = 2x$ and $y=8-2x$ ?
$x,y =$

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

graph of two lines in the first quadrant, one with negative slope passing through the y-intercept P and x-intercept R, the other with positive slope passing through the origin. the lines intersect at the point Q.

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Problem 5.

(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.

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Problem 6.

(1 point)

What are the coordinates of the point $Q$ 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.

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Problem 7.

(1 point)

What are the coordinates of the point $R$ 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.)

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Problem 8.

(1 point)

What is the slope of the blue line segment? The black function is $y = (x-1)^2 + 1$ .
slope =

graph of the an upward opening parabola in the first quadrant with positive minimum value, with a blue line segment joining the points on the parabola with x=1 and x=2.5.

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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.

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Problem 10.

(1 point)

What is the area of the blue rectangle? The graphed function is $y=\sqrt{25-x^2}$ .
area =

graph of the top half of a circle. the blue rectangle has a base lying along the x-axis with lower-right corner at x=4 and upper-right corner on the half-circle.

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Test Section11EvaluationGraphingTest

Problem 1.

Problem 2.

Problem 3.

Problem 4.

Problem 5.

Problem 6.

Problem 7.

Problem 8.

Problem 9.

Problem 10.