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statuscvo [17]
3 years ago
5

Find the domain and range of the exponential function h(x)= -343^x

Mathematics
1 answer:
givi [52]3 years ago
7 0
I will named this exponential function as y= - 343^x .
This function is symmetrical with function y = 343^x in relation to X axis. 
In general their formula is y=a^x or in your case y= - a^x

First I'll describe y=a^x => this function has domein Dx=R ( Whole field of real number), range is in interval ( 0,  +infinity), when x increases and y increases, when x decreases and y decreases. This function is always positive in whole domain and always is growing function. And X axis is its asymptote (y=0).

In your case function y= - 343^x has folowing features:
domein Dx=R
range is in interval (-infinity, 0)
when x increases => y decreases =>
example: y= -2^2=-4, y= -2^3=-8 etc....
when x decreases => y increases ->
example: y= -2^(-2)= - 1/(2^2)= - 1/4, y=-2^(-3)= - 1/(2^3)= - 1/8 etc....
this function is always negative
this function is always declining
x axis is its asymptote from the top ( y=0)
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If I am wrong, I am truly sorry, I haven't done area in a long time.

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<em>0</em><em>.</em><em>04</em><em> </em><em>o</em><em>r</em><em> </em><em>4</em><em>%</em>

Step-by-step explanation:

<em>-A fraction consists of two numbers and a fraction bar: 0.5/12.5</em>

<em>- The number above the bar is the numerator: 0.5</em>

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<em>0.5 ÷ 12.5 </em>

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<em>Note:100/100 = 100 ÷ 100 = 100% = 1Multiply a number by the fraction 100/100,... and its value doesn't change.0.04 =</em>

<em>=</em><em> </em><em>0.04 × 100/100 </em>

<em>=</em><em> </em><em>(0.04 × 100)/100 </em>

<em>=</em><em> </em><em>4/100 </em>

<em>=</em><em> </em><em>4%;</em>

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