Question 250970: I have one problem that i need help with I solve the problem but not sure of the graph, can you show me how to graph.
Here is the problem:
1. Evaluate the exponential equation for three values of x greater than -4, three values of x smaller than -4, and at x=--4. Use the resulting ordered pairs to plot the graph, state the equation of the line asymptotic to the graph. Y= 3(x+4).
This is what I got.
Start with the given equation
4y= -3x Subtract 3x from both sides
4y=-3x Rearrange the equation
Divide both sides by
Break up the fraction
y= (-3/4)*x Reduce
Now graph y= (-3/4)*x
So let's solve for y on the second equation
Start with the given equation
y=-x subtract x from both sides
y= -x Rearrange the equation
Divide both sides by
Break up the fraction
y=0x Reduce
Reduce
Now lets add the graph of y=0x to our first plot to get:
From the graph, we can see that the two lines intersect at the point
Start with the given equation
y=-x Subtract x from both sides
y=-x Rearrange the equation
Divide both sides by
Break up the fraction
Y=0x Reduce
Now lets add the graph of to our first plot to get:
Can you check this for me.
Thank you
Found 2 solutions by Theo, stanbon:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! what is the exponential equation that you started with?
i didn't see one.
y = 3*(x+4) is not exponential.
is that your original equation?
is your original equation something else?
y = 3*(x+4) is the equation of a straight line.
that would look like this:
an exponential equation would be in the form of:
y = b^x where b is the base and x is the exponent that the base is being raised to.
an example would be:
y = 3^(x+3) where 3 is the base and x+3 is the exponent.
use the ^ symbol to indicate exponentiation.
use parentheses to keep the exponent together if it is an expression with more than 1 term in it.
y^x is ok.
y^x+1 is not ok. it should be written as y^(x+1) to make certain that the whole expression is the exponent.
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! 1. Evaluate the exponential equation for three values of x greater than -4, three values of x smaller than -4, and at x=-4. Use the resulting ordered pairs to plot the graph, state the equation of the line asymptotic to the graph.
Y= 3^(x+4).
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If x = -7 you get (-7,1/27)
If x = -6 you get (-6,1/9)
If x = -5, y = 3^-1 = 1/3 giving you point (-5,1/3)
If x = -4, y = 3^0 = 1 giving you point (-4,1)
If x = -3, y = 3 giving you point (-3,3)
If x = -2, y = 9 giving you pont (-2,9)
If x = -1, y = 27 giving you pont (-1,27)
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The asymptote is y = 0
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Cheers,
Stan H.
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