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[tex]f(x) = 2x + 3[/tex]
And
[tex]g(x) = 2 \times {3}^{x} \\ [/tex]
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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 ) :
[tex]y - intercept = f(0)[/tex]
[tex]f(x) = 2x + 3[/tex]
[tex]f(0) = 2(0) + 3[/tex]
[tex]f(0) = 3[/tex]
Thus :
[tex]y - intercept = 3[/tex]
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In g ( x ) :
[tex]y - intercept = g(0)[/tex]
[tex]g(x) = 2 \times {3}^{x} [/tex]
[tex]g(0) = 2 \times {3}^{0} [/tex]
[tex]g(0) = 2 \times 1[/tex]
[tex]g(0) = 2[/tex]
Thus :
[tex]y - intercept = 2[/tex]
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The positive difference in the y-intercept value of f ( x ) and g ( x ) is :
[tex] |3 - 2| = |1| = 1[/tex]
So write this in the box : 1
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And we're done....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
