Question

Need help with this math problem ASAP. Look at the picture attached. The linear function f(x) passes through the points (0,3) and (2,7). A few values from the exponential function g(x) are shown in the table. What is the positive difference in the y-intercept value of f(x) and g(x)?​

Answer 1

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$f(x) = 2x + 3$

And

$g(x) = 2 \times {3}^{x}$

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To find the y-intercept of any equation just need to put 0 (( zero )) instead of the x in the equation...

Let's do it....

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In f ( x ) :

$y - intercept = f(0)$

$f(x) = 2x + 3$

$f(0) = 2(0) + 3$

$f(0) = 3$

Thus :

$y - intercept = 3$

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In g ( x ) :

$y - intercept = g(0)$

$g(x) = 2 \times {3}^{x}$

$g(0) = 2 \times {3}^{0}$

$g(0) = 2 \times 1$

$g(0) = 2$

Thus :

$y - intercept = 2$

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The positive difference in the y-intercept value of f ( x ) and g ( x ) is :

$|3 - 2| = |1| = 1$

So write this in the box : 1

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And we're done....

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