Which is the graph of the sequence defined by the function f(x)=100(0.5)^x-1
2 answers:
Answer:
See attached picture below.
Step-by-step explanation:
See attached picture below. You'll notice the equation is an exponential and therefore always has this shape. Because 0.5 its base is <1, the graph starts up and ends low. Since 1000 is the starting value and is subtracted by 1 being multiplied it crosses the y-axis at (0, 999). This means the entire graph is 1 unit lower.
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Explanation :
<u>GIVEN </u> :
- f(x) = 2x - 6
<u>TO </u><u>FIND</u><u> </u> :
- Inverse of f(x) i.e
<u>S</u><u>OLUTION </u> :
FOLLOW THESE THREE STEPS :
- LET Y = f(x)
- MAKE X A SINGLE TERM IN LHS SIDE
- INTERCHANGE THE VALUE OF X AND Y
Hence ,
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Answer:
x = -5, 2
Step-by-step explanation:
The first step to factor the equation is removing any factors/like terms that all of the variables share.
In the equation , all numbers are multiples of 2, therefore you can factor out 2 from to equation
Next, you can factor the equation in the parenthesis. Since x^2 is not multiplied by anything, you know that the factors of x^2 must be x and x. Therefore, the two factors of -10 must add up to 3. The only two factors of -10/x that add up to 3 are 5 * -2.
The factors of the equation are then (2)(x+5)(x-2)
Lastly, set up only the factors containing a x to 0 in order to solve for x-intercept.
x+5 = 0; x= 0-5 ; x = -5
x - 2 = 0; x = 0 + 2; x = 2