The true statements are
- (d) they have the same y-intercept
- (e) they approach negative infinity as x approaches negative infinity
How to determine true statements?
The function g(x) is given as:
[tex]g(x) = -12(\frac 13)^x[/tex]
Set x = 0, to determine the y-intercept
[tex]g(0) = -12(\frac 13)^0[/tex]
g(0) = -12
From the table, we y-intercept of f(x) is
f(0) = -12
This means that they have the same y-intercept
Because the functions have negative initial values, they would approach negative infinity as x approaches negative infinity
Hence, the true statements are (d) and (e)
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