Exponential Growth Functions — Quiz

Question 8 • Algebra: Concepts and Connections

Which graph shows exponential growth?

Answer

Image with description A coordinate plane with both the axis labeled from negative 5 to 5. A straight line with positive slope crosses the y-axis at negative 1 comma 0 and crosses the y-axis at 2 comma 0.

Image with description A coordinate plane with both the axis labeled from negative 5 to 5. A curve opens down and to the right in quadrants 1 and 4. It crosses the x-axis at 1 comma 0. It also touches the negative y-axis at 0 comma 2, 0 comma 3, and 0 comma 4.

Image with description A coordinate plane with both the axis labeled from negative 5 to 5. A curve approaches y equals 0 in quadrant 2 and curves up into quadrant 1. The y-intecept is 0 comma 2.

Image with description A coordinate plane with both the axis labeled from negative 5 to 5. A parabola opens upwards with vertex at 0 comma 0. The curve also crosses the points negative 1 comma 2 and 1 comma 2.

Explanation

Exponential growth increases slowly at first and then rises more and more rapidly as x increases. Graph A approaches y = 0 on the left and curves upward to the right, which is the characteristic shape of exponential growth. The other choices show a parabola, a different curved graph, and a straight line.

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