the graphs of three functions are shown. which statements accurately compare the functions on the graph…

the graphs of three functions are shown. which statements accurately compare the functions on the graph? select two options. the square root and quadratic function share a y - intercept. the square root and absolute value function share an x - intercept. the range of the square root and quadratic function are the same. the range of the square root and absolute value function are the same. the quadratic function and the absolute value function have a minimum while the square root function has a maximum.

the graphs of three functions are shown. which statements accurately compare the functions on the graph? select two options. the square root and quadratic function share a y - intercept. the square root and absolute value function share an x - intercept. the range of the square root and quadratic function are the same. the range of the square root and absolute value function are the same. the quadratic function and the absolute value function have a minimum while the square root function has a maximum.

Answer

Explanation:

Step1: Recall function - intercept and range concepts

Intercepts are points where the graph crosses axes. Range is the set of all possible y - values.

Step2: Analyze y - intercepts

The y - intercept is the value of y when x = 0. For the square - root and quadratic functions, when x = 0, they intersect the y - axis at the same point. So, the square root and quadratic function share a y - intercept.

Step3: Analyze x - intercepts

The square - root function and the absolute - value function do not cross the x - axis at the same point.

Step4: Analyze ranges

The range of a square - root function (y=\sqrt{x}) (assuming a non - negative domain) is (y\geq0). The range of the quadratic function shown is (y\leq k) (where k is the maximum value of the quadratic), and the range of the absolute - value function is (y\geq0). The range of the square root and absolute - value functions are the same, not the square root and quadratic.

Step5: Analyze extrema

The quadratic function has a maximum (it opens downwards), the absolute - value function has a minimum, and the square - root function has a minimum at its starting point (since its domain starts at a non - negative value and it is increasing).

Answer:

The square root and quadratic function share a y - intercept. The range of the square root and absolute value function are the same.