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Test Section11EvaluationGraphingTest

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Problem 1.

(1 point)
What is the area of the blue rectangle? The graphed function is .
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.

Problem 2.

(1 point)
What is the area of the blue rectangle? The graphed function is .
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.

Problem 3.

(1 point)
What are the coordinates of the point in the following graph of ?

(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.

Problem 4.

(1 point)
What are the coordinates of the point shown in the following graph of and ?

(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.

Problem 5.

(1 point)
What are the coordinates of the point in the following graph of ?

(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.

Problem 6.

(1 point)
What is the area of the blue rectangle? The graphed function is .
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.

Problem 7.

(1 point)
What are the coordinates of the point shown in the following graph of and ?

(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.

Problem 8.

(1 point)
What is the slope of the blue line segment? The black function is .
slope =
graph of the square root function, with a blue line segment joining the points on the function with x=1 and x=4.

Problem 9.

(1 point)
What are the coordinates of the point shown in the following graph of and ?

(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.

Problem 10.

(1 point)
What are the coordinates of the point shown in the following graph of and ?

(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.