Match each equation with its graph. (Do not use technology.) The x y-coordinate plane is given. There are 3 curves on the graph. The curve f enters the window in the third quadrant, goes up and right becoming less steep, becomes nearly horizontal at the origin touching the curve h, goes up and right becoming more steep, passes through the approximate point (0.5, 0.03), passes through the point (1, 1) crossing the curve h, and exits the window in the first quadrant. The curve g enters the window in the second quadrant, goes down and right becoming less steep, passes through the point (−1, 1) crossing the curve h, changes direction at the origin touching the curve h, goes up and right becoming more steep, passes through the approximate point (0.5, 0), passes through the point (1, 1) crossing the curve h, and exits the window in the first quadrant. The curve h enters the window in the second quadrant, goes down and right becoming less steep, passes through the point (−1, 1) crossing the curve g, changes direction at the origin touching the curve g, goes up and right becoming more steep, passes through the point (0.5, 0.25), passes through the point (1, 1) crossing the curve g, and exits the window in the first quadrant. (a) y = x2 fg h (b) y = x5 hf g (c) y = x8 hf g

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.2: Writing Equations In Standard And Point-slope Forms

Problem 48PFA

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Question

Match each equation with its graph. (Do not use technology.)

The x y-coordinate plane is given. There are 3 curves on the graph.

The curve f enters the window in the third quadrant, goes up and right becoming less steep, becomes nearly horizontal at the origin touching the curve h, goes up and right becoming more steep, passes through the approximate point (0.5, 0.03), passes through the point (1, 1) crossing the curve h, and exits the window in the first quadrant.
The curve g enters the window in the second quadrant, goes down and right becoming less steep, passes through the point (−1, 1) crossing the curve h, changes direction at the origin touching the curve h, goes up and right becoming more steep, passes through the approximate point (0.5, 0), passes through the point (1, 1) crossing the curve h, and exits the window in the first quadrant.
The curve h enters the window in the second quadrant, goes down and right becoming less steep, passes through the point (−1, 1) crossing the curve g, changes direction at the origin touching the curve g, goes up and right becoming more steep, passes through the point (0.5, 0.25), passes through the point (1, 1) crossing the curve g, and exits the window in the first quadrant.