Answer:
Step-by-step explanation:
The parent function of g(x) = 2*3^x-4 would be 3^x
The transformation would include: shifting parent function 4 units down (-4) and compressing the function (2)
The movement (shifting) of the graph is caused by the y-intercept. If the y-intercept is positive, the graph moves up and vice versa.
The coefficient which is multiplied determines whether the function is compressed (squeezed) or stretched. If the coefficient is less than 1, then the function is stretched. If the coefficient is greater than 1, then the function is compressed.
We won't have a function if for same value of x in (x,y) we get different values y.
So first step: figure out k so that the first coordinate (x) is the same:
3k-4=4k | solve for k
k = -4
no check the values y for the elements of the relation
x = 3k-4 = -12-4=-16
so at -16 we get (-16,16) and (-16, 32), which mean for k=-4 the relation is not a function.
Let me know if you have any questions.
Answer:
1/8
Step-by-step explanation:
This is a compund probability problem. You need to find the probability of each event and then multiply the probabilities together.
The probability of flipping tails is 1/2. We need three of these.
1/2 x 1/2 x 1/2 = 1/8
Minus the 21 from the other side of the equation making it 7x=-21 then u divide the 7 from the x to the -21 resulting in x=-3
