Select the points that lie on the function h(x) = 3x^2.
Which ones?
There are an infinite number of such points.
Y=9 P=0
To determine which points lie on the function h(x) = 3x^2, we need to substitute different values of x into the equation and calculate the corresponding y-values.
Let's choose some values for x and use them to find the corresponding y-values:
1. For x = 0: h(0) = 3(0)^2 = 3(0) = 0. Therefore, the point (0, 0) lies on the function.
2. For x = 1: h(1) = 3(1)^2 = 3(1) = 3. Hence, the point (1, 3) lies on the function.
3. For x = -1: h(-1) = 3(-1)^2 = 3(1) = 3. Thus, the point (-1, 3) lies on the function as well.
By substituting different values of x into the equation h(x) = 3x^2, we obtain points that lie on the function:
(0, 0), (1, 3), (-1, 3)