Answer:
Maria is not correct.
The graph of y = 3x grows at an increasingly increasing rate, but the graph of y = 3x2 grows at a constantly increasing rate.
Therefore, the graph of y = 3x will eventually surpass the graph of y = 3x2.
Explanation:
Yes, graphs of exponential equations grow at an increasingly increasing rate.
Graph with X-axis labeled by ones from negative 2 to 5 and Y-axis labeled by 10s from negative 10 to 70. 2 equations are graphed in different colors. Equation 1 is y = 3 superscript x and is a curve opening up and to the left, starting near the X-axis at left and continuing up and to the right, getting steeper as it goes right. Equation 2 is y = 3 x squared, a parabola opening upward with vertex at (0, 0).
=32
y
=
3
x
2
grows more quickly at first, but =3
y
=
3
x
eventually overtakes =32
y
=
3
x
2
.