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Luden [163]
3 years ago
13

(Q4) Which values of a and b in the exponential function y = a (bx) would result in the following graph?

Mathematics
2 answers:
kenny6666 [7]3 years ago
8 0

Answer: second option.

Step-by-step explanation:

By definition, you know that:

b^0=1

You can see in the graph that the interception with the y-axis is at -1.

Therefore, in that point: x=0 and y=-2

Substitute into the function and solve for a:

-1=a(b)^0\\-1=a(1)\\a=-1

Now, choose any point of the function and substitute this point and the value of a into the function and solve for b. Then you obtain:

Point (2,-4)

-4=-1(b)^2\\\frac{-4}{-1}=b^2\\b=\sqrt{4}\\b=2

matrenka [14]3 years ago
7 0

Answer:

Its B

Step-by-step explanation:

Because it is

On edge

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Well, the x-intercept is at -4, that means, the graph touches the x-axis at -4, or when x = -4, what's the value of "y" when that happens?  well, if the graph touches the x-axis, the y-value has gone all the way down to 0, and thus y = 0, therefore the point at that x-intercept is ( -4, 0 )

so, what's the equation of a line that passes through (-3,2) and (-4,0)?

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ -3}}\quad ,&{{ 2}})\quad 
%   (c,d)
&({{ -4}}\quad ,&{{ 0}})
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\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
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Answer:

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