Which of the following shows the graph of y is equal to 2 e to the x th power ?
Answer
A
Image with description "Image 1: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. A single curve is plotted, with a horizontal asymptote at y equals 0 (the x-axis) as x approaches negative infinity. It crosses the x-axis at (negative 4 comma 0) and the y-axis at (0 comma 2) and passes through (0 point 5 comma 4). Image 2: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve starts at the point (0 comma negative 3). It then increases as x increases, curving upwards and to the right. It intersects the x axis at (1 comma 0). The curve passes through the points (2 comma 0 point 5) and (4 comma 1 point 5). Image 3: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve has a vertical asymptote at x equals 0, extending downwards towards negative infinity as x approaches 0 from the positive side. The curve passes through (0 point 5 comma negative 1 point 5), the x-intercept (1 comma 0), and (2 point 7 comma 2). It is an increasing function, extending upwards and to the right. Image 4: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve has a horizontal asymptote at y equals 0 as x approaches negative infinity. It crosses the x-axis at (negative 4 comma 0) and the y-axis at (0 comma 4). It passes through points (negative 2 comma 0 point 5), (negative 1 comma 1 point 5) and ( negative 0 point 5 comma 3)."
B
Image with description "Image 1: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. A single curve is plotted, with a horizontal asymptote at y equals 0 (the x-axis) as x approaches negative infinity. It crosses the x-axis at (negative 4 comma 0) and the y-axis at (0 comma 2) and passes through (0 point 5 comma 4). Image 2: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve starts at the point (0 comma negative 3). It then increases as x increases, curving upwards and to the right. It intersects the x axis at (1 comma 0). The curve passes through the points (2 comma 0 point 5) and (4 comma 1 point 5). Image 3: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve has a vertical asymptote at x equals 0, extending downwards towards negative infinity as x approaches 0 from the positive side. The curve passes through (0 point 5 comma negative 1 point 5), the x-intercept (1 comma 0), and (2 point 7 comma 2). It is an increasing function, extending upwards and to the right. Image 4: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve has a horizontal asymptote at y equals 0 as x approaches negative infinity. It crosses the x-axis at (negative 4 comma 0) and the y-axis at (0 comma 4). It passes through points (negative 2 comma 0 point 5), (negative 1 comma 1 point 5) and ( negative 0 point 5 comma 3)."
C
Image with description "Image 1: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. A single curve is plotted, with a horizontal asymptote at y equals 0 (the x-axis) as x approaches negative infinity. It crosses the x-axis at (negative 4 comma 0) and the y-axis at (0 comma 2) and passes through (0 point 5 comma 4). Image 2: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve starts at the point (0 comma negative 3). It then increases as x increases, curving upwards and to the right. It intersects the x axis at (1 comma 0). The curve passes through the points (2 comma 0 point 5) and (4 comma 1 point 5). Image 3: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve has a vertical asymptote at x equals 0, extending downwards towards negative infinity as x approaches 0 from the positive side. The curve passes through (0 point 5 comma negative 1 point 5), the x-intercept (1 comma 0), and (2 point 7 comma 2). It is an increasing function, extending upwards and to the right. Image 4: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve has a horizontal asymptote at y equals 0 as x approaches negative infinity. It crosses the x-axis at (negative 4 comma 0) and the y-axis at (0 comma 4). It passes through points (negative 2 comma 0 point 5), (negative 1 comma 1 point 5) and ( negative 0 point 5 comma 3)."
D
Image with description "Image 1: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. A single curve is plotted, with a horizontal asymptote at y equals 0 (the x-axis) as x approaches negative infinity. It crosses the x-axis at (negative 4 comma 0) and the y-axis at (0 comma 2) and passes through (0 point 5 comma 4). Image 2: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve starts at the point (0 comma negative 3). It then increases as x increases, curving upwards and to the right. It intersects the x axis at (1 comma 0). The curve passes through the points (2 comma 0 point 5) and (4 comma 1 point 5). Image 3: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve has a vertical asymptote at x equals 0, extending downwards towards negative infinity as x approaches 0 from the positive side. The curve passes through (0 point 5 comma negative 1 point 5), the x-intercept (1 comma 0), and (2 point 7 comma 2). It is an increasing function, extending upwards and to the right. Image 4: On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. The curve has a horizontal asymptote at y equals 0 as x approaches negative infinity. It crosses the x-axis at (negative 4 comma 0) and the y-axis at (0 comma 4). It passes through points (negative 2 comma 0 point 5), (negative 1 comma 1 point 5) and ( negative 0 point 5 comma 3)."