3 Answers:
- A) The quadratic and absolute value functions share a y-intercept.
- B) The square root and quadratic function share an x-intercept.
- D) The square root function does not have a y-intercept.
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Explanations:
- Choice A) This is true. The y intercept is where graph crosses the y axis. The blue V shaped graph and the orange parabola cross at 8 on the y axis. Therefore, they have the same y intercept.
- Choice B) This is true. The x intercept is the same for both the orange parabola and red square root curve. They both cross or touch the x axis at 2.
- Choice C) This is false. For example, the value x = 0 is not in the domain of the square root function, but it is part of the domain of the absolute value function.
- Choice D) This is true. You have the correct answer. There is no y intercept because the square root curve does not touch or cross the y axis.
- Choice E) This is false. The first part about the square root function having a minimum domain value is true. This is x = 2, which is the smallest x value allowed. However, the part about the other two functions having a minimum range value is false. The arrows on the parabola indicate the curve goes forever downward. There is no smallest y value on the parabola. The same applies for the absolute value graph as well. Since both parts of choice E aren't true, this means the complete statement overall is false.