Question

Choose all functions that have a y-intercept of (0.5).

a) f(t)=−3(6t)−5
b) g(t)=2(0)+5
c) h(t)=−5(bt)+10
d) j(t)=5(0)^2−1
e) k(3)=7(0)^2-2

Answer 1

To determine which functions have a y-intercept of 0.5, substitute x=0 into each function and see if the output is 0.5. The only function that has a y-intercept of 0.5 is g(t) = 2(0) + 5.

Step-by-step explanation:

The y-intercept of a function is the value of the function when x=0. To determine which functions have a y-intercept of 0.5, we need to substitute x=0 into each function and see if the output is 0.5.

a) f(t) = -3(6t) - 5: f(0) = -3(6(0)) - 5 = -5, not 0.5.

b) g(t) = 2(0) + 5: g(0) = 2(0) + 5 = 5, not 0.5.

c) h(t) = -5(bt) + 10: The function h(t) doesn't provide enough information to determine the value of b, so we can't determine if the y-intercept is 0.5.

d) j(t) = 5(0)^2 - 1: j(0) = 5(0)^2 - 1 = -1, not 0.5.

e) k(3) = 7(0)^2 - 2: k(0) = 7(0)^2 - 2 = -2, not 0.5.

Therefore, the only function that has a y-intercept of 0.5 is g(t) = 2(0) + 5.