Question

Classity the function as discrete of continuous for the given domain. Then identity the range of the functionY=1/2x+5;domain:x=-4, -2, 0, 2, 4

Answer 1

Discrete function

Range: {3, 4, 5, 6, 7}

Step-by-step explanation:

The domain of the function is

x = -4, -2, 0, 2, 4

So, we can classify the function as discrete because the domain is a set of specific values.

To identify the range, we need to calculate the value of y for each value of x, so

If x = -4

y = (1/2)x + 5

y = (1/2)(-4) + 5

y = -2 + 5

y = 3

If x = -2

y = (1/2)(-2) + 5

y = -1 + 5

y = 4

If x = 0

y = (1/2)(0) + 5

y = 0 + 5

y = 5

If x = 2

y = (1/2)(2) + 5

y = 1 + 5

y = 6

If x = 4

y = (1/2)(4) + 5

y = 2 + 5

y = 7

Therefore, the range is the set {3, 4, 5, 6, 7}