Worksheet T3 46, Writing Exponential Equations Using a Graph & Finding the Rate of Change Form
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People also ask
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How do you write an exponential equation?
0:03 3:23 That's going to give us 6 is equal to a b. And over here We're going to do the same thing But. NowMoreThat's going to give us 6 is equal to a b. And over here We're going to do the same thing But. Now we're going to do with four So. Y is 48 so we're gonna get 48.
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How do you write an exponential function from two points?
2:43 3:33 So i'm going to use this point so i plug six in for y. Equals a times two squared. So i got sixMoreSo i'm going to use this point so i plug six in for y. Equals a times two squared. So i got six equals a times four divide both sides by four i get a equals six over four or three halves.
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How do you write an exponential function from a point?
How To First, identify two points on the graph. ... If one of the data points is the y-intercept (0,a) , then a is the initial value. ... If neither of the data points have the form (0,a), substitute both points into two equations with the form f(x)=a(b)x. ... Write the exponential function, f(x)=a(b)x.
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How do you find the equation from an exponential graph?
First, identify two points on the graph. ... If one of the data points is the y-intercept (0,a), then a is the initial value. ... If neither of the data points have the form (0,a), substitute both points into two equations with the form f(x)=a(b)x. ... Write the exponential function, f(x)=a(b)x.
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What is b in exponential function?
You can write. an exponential function in general form. In this form, a represents an initial value or amount, and b, the constant multiplier, is a growth factor or factor of decay.
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How do you write an exponential function from two points?
2:43 3:33 So i'm going to use this point so i plug six in for y. Equals a times two squared. So i got sixMoreSo i'm going to use this point so i plug six in for y. Equals a times two squared. So i got six equals a times four divide both sides by four i get a equals six over four or three halves.
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How to write an exponential equation from a graph?
First, identify two points on the graph. ... If one of the data points is the y-intercept (0,a), then a is the initial value. ... If neither of the data points have the form (0,a), substitute both points into two equations with the form f(x)=a(b)x. ... Write the exponential function, f(x)=a(b)x.
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How to find the slope of an exponential function?
0:28 5:35 So since we know that Y is equal to e to the X then y when X is equal to 2 will be e to the secondMoreSo since we know that Y is equal to e to the X then y when X is equal to 2 will be e to the second power. And if we then take the natural number e. And square it we get something approximately 7.389.
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How do you turn a graph into an equation?
1:11 2:08 So I can say well from the left to the right I'm going down 1 2 3 4 5 6. And I'm going over pos2 soMoreSo I can say well from the left to the right I'm going down 1 2 3 4 5 6. And I'm going over pos2 so the change in the height is -6. Over 2 com3 so therefore now if I want to write the equation.
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How do you write a function with two points?
Step 1: Identify two points on the graph, ( x 1 , y 1 ) and ( x 2 , y 2 ) . Step 2: Find the slope between the two points found in step 1 using the formula m = y 2 − y 1 x 2 − x 1 . Simplify completely. Step 3: Set up a function f ( x ) = m x + b using the slope from step 2.
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How to find exponential function from 2 points?
2:49 3:33 And we've done this algebraically. You could check this using exponential regression in yourMoreAnd we've done this algebraically. You could check this using exponential regression in your calculator. Or if you want graph it and make sure it goes through those two points.
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How to given two data points write an exponential model?
How To. Given two data points, write an exponential model. If one of the data points has the form(0,a), thena is the initial value. Usinga, substitute the second point into the equationf(x)=a(b)x, f ( x ) = a ( b ) x , and solve forb.
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