Question

H(r) = r^2; calculate h for each of the following values: -1.2, 0, 0.2, 1.2, 4.

a) 1.44, 0, 0.04, 1.44, 16
b) -1.44, 0, 0.04, -1.44, 16
c) 1.44, 0, 0.04, -1.44, 16
d) 1.44, 0, 0.04, -1.44, -16

Answer 1

To calculate the value of h for each given r in the function h(r) = r^2, you square each value of r. The correct outputs correspond to Option (a): 1.44, 0, 0.04, 1.44, 16.

Step-by-step explanation:

The function h(r) = r^2 is a simple square function where the output is the square of the input value. To find the value of h for each given r, you simply square the value of r.

• For r = -1.2: h(-1.2) = (-1.2)^2 = 1.44
• For r = 0: h(0) = 0^2 = 0
• For r = 0.2: h(0.2) = (0.2)^2 = 0.04
• For r = 1.2: h(1.2) = (1.2)^2 = 1.44
• For r = 4: h(4) = 4^2 = 16

Choosing from the given options, the correct set of outputs for the function h(r) is Option (a): 1.44, 0, 0.04, 1.44, 16.