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Grade 10 Functions and Relations CCSS: HSA-REI.D.11
The functions f(x)=3x2-5x-2 and g(x)=2x2-2x+8 are graphed on the same set of axes. What is true about the points of intersection of the two functions? Choose all correct answers.
  1. Without seeing the graph, there is no way to determine if there are any intersection points.
  2. The intersection points occur where f(x)=g(x).
  3. f(5)=48 and g(5)=48, so 5 is an x-coordinate of a point where the two functions intersect.
  4. f(0)=-2 and g(-2)=20, so (0,20) is a point of intersection.
Grade 11 Functions and Relations CCSS: HSF-IF.C.9
Let f(x) be the square root function in the following graph. Assume that the scale on both axes is one unit. Also, let g(x)=5-3x-2+2. Which of the following statements is true about these functions?
Graph - Square Root Function y=sqrt x
  1. The minimum value of f(x) is less than the minimum value of g(x).
  2. The minimum value of g(x) is less than the minimum value of f(x).
  3. The domain of f(x) and the domain of g(x) are identical.
  4. The y-intercepts of both functions are real numbers which are greater than or equal to zero.
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