[ f(5)-f(1) ] / (5-1) find f(5) and f(1), then plug them into the equation
I'm terrible at math can explain how to do the problem
what is f(5)? (look at the table)
yeah! now find f(1)
yup! now plug those values into our expression [f(5)-f(1)] / (5-1)
uh, not quite, the f's go away when you replace them (16-256) / (5-1) = ?
-60 would be the answer?
So it would be -60; on average, there was a loss of 60 each round?
yeah! you got it
Thank you! Can you help me with a few more?
Ok which of the following options results in a graph that shows exponential growth? f(x) = 0.4(0.2)^x f(x) = 4(0.98)^x f(x) = 0.7(5)^x f(x) = 5(4)^-x
2 requirements for exponential growth: 1. the exponent must be positive 2. the ratio (the number in parentheses) must be greater than 1 given this information, which of the four choices do you think it is?
F(x) = 0.7(5)^x?
yeah, you got it ~
Ok 3 more
Which of the following options is an equivalent function to f(x) = 4(3)^2x f(x) = 36^x f(x) = 4(9)^x f(x) = 144^x f(x) = 4(6x)
you can simplify (3^2)^x to 9^x, but you have to leave the 4 alone since it's not attached to the x f(x) = 4(9)^x
Wait f(x) = 4(9)^x is the answer?
Oh ok I would say explain but it seems you already did ok 2 more
For f(x) = 0.01(2)^x, find the average rate of change from x = 12 and x = 15 3 40.96 95.57 286.72
it's pretty much the same as the first problem you showed me [ f(15)-f(12) ] / ( 15-12) = ?
I got 1 but it's not right
ok, let's take it step by step f(15) = ?
f(x) = 0.01(2)^x f(15) = ?
I'm confused I'm so bad at math so your plugging in the 15 so it's f(15) = 0.01(2)^x?
when you plug in 15, you replace "x" with 15 so f(15) = 0.01(2)^15
so, f(15) = ?
So what do you do with f(15) = 0.01(2)^15
just type it out on a calculator and tell me what you get
I don't have that calculator I have to find it
you can use an online calculator
right, now find f(12)
right, now go back to the formula I gave you back then [f(15)-f(12)] / (15-12) = ?
you still need to divide by (15-12)
I did I divided 286.72 by 286.72 and I got 1 or do you divide 286.72 by 3
you divide by 3
yeah! that's our answer
Ok this ones a graph
Identify the domain of the exponential function shown in the following graph: All real numbers All positive numbers 1 less than or equal to x less than or equal to 30 All integers
Idk how to to add the graph I'm on my phone
can you try to draw what it looks like?
How do you draw it?
I'm not sure what you would do on a phone
Is there a "draw" button anywhere?
Ok hold on
A curve runs just above the x axis through the second quadrant, passes through point 0 comma 1 and continues off screen near 1 comma 12.
it seems like the domain would be all real values since there aren't any gaps or asymptotes
the first one is the best choice here
I can try attach the graph if it would help strengthen the answer
No need I got them all right thank you!!!