Find the range of the function when the domain is {-3, - 1.5, 0, 1, 4}

y = 4t^2 + 5

I don't have a calculator near me ... but you probably do. So just plug in those values for t.

Y = 4 (-3) ^2 + 5

(Actually ... I might be able to do these in my head ...) Y = 41

Y = 4 (-1.5) ^2 + 5

Y = 14

Y = 4 (0) ^2 + 5

Y = 5

Y = 4 (1) ^2 + 5

Y = 9

Y = 4 (4) ^2 + 5

Y = 69

The range is all the Y values. So it would be {41, 14, 5, 9, 69}