Back to the on-screen lesson ·
Apply functions across unfamiliar problems: original cases with explanations after your first response.
Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.
Track the input through the correct function branch or composition. For graph questions, identify whether the target is a coordinate, a distance, an intercept or a set of permitted inputs.
Let f(x)=2x+1 for x<0 and f(x)=x squared for x>=0. What is f(-3)+f(2)?
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The function g(x)=sqrt(10-2x) has real values only when x is at most what number?
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What is the distance between the points (-2,3) and (4,11)?
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A circle has equation (x-2) squared+(y+3) squared=25. What is its diameter?
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What is the x-coordinate of the vertex of y=x squared+8x+19?
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How many distinct real solutions satisfy x squared-6x+9=0?
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The midpoint of A=(-5,8) and B=(7,-2) has what y-coordinate?
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The graph of y=|x| is shifted three units right and two units up. What y-value corresponds to x=1?
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If x+y=9 and xy=14, what is x squared+y squared?
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For f(x)=x squared-6x+5, how many integer inputs give a negative output?
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Use an independent representation to check: substitute coordinates into the equation, or compare a factored expression with its graph's sign intervals.