MATH SOLVE

2 months ago

Q:
# The functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.05)x x g(x) −4 −9 −2 −6 0 −3 2 2 Which equation best compares the y-intercepts of f(x) and g(x)?

Accepted Solution

A:

Answer:The y-intercept of f(x) is equal to 2 times the y-intercept of g(x)Step-by-step explanation:we know thatThe y-intercept is the value of the function when the value of x is equal to zerostep 1Find the y-intercept of f(x)we have[tex]f(x)=-6(1.05)^{x}[/tex]For x=0[tex]f(0)=-6(1.05)^{0}[/tex][tex]f(0)=-6(1)[/tex][tex]f(0)=-6[/tex]The y-intercept is the point (0,-6)step 2Find the y-intercept of g(x)Observing the tableFor x=0[tex]g(0)=-3[/tex]The y-intercept is the point (0,-3)step 3 Compare the y-interceptsThe y-intercept of f(x) is equal to 2 times the y-intercept of g(x)