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Sagot :
Let's evaluate the function [tex]\( f(x) = 2^x \)[/tex] step-by-step for [tex]\( x = 4 \)[/tex].
1. Given the function [tex]\( f(x) = 2^x \)[/tex]:
2. Substitute [tex]\( x = 4 \)[/tex] into the function:
[tex]\[ f(4) = 2^4 \][/tex]
3. Calculate [tex]\( 2^4 \)[/tex]:
[tex]\[ 2^4 = 16 \][/tex]
4. The calculated result for [tex]\( f(4) = 2^4 \)[/tex] is [tex]\( 16 \)[/tex].
5. The question asks if the output when the function [tex]\( f(x) = 2^x \)[/tex] is evaluated at [tex]\( x = 4 \)[/tex] is equal to 8:
[tex]\[ 16 \neq 8 \][/tex]
Based on this evaluation, the statement "When the function [tex]\( f(x) = 2^x \)[/tex] is evaluated for [tex]\( x = 4 \)[/tex], the output is 8" is:
False
1. Given the function [tex]\( f(x) = 2^x \)[/tex]:
2. Substitute [tex]\( x = 4 \)[/tex] into the function:
[tex]\[ f(4) = 2^4 \][/tex]
3. Calculate [tex]\( 2^4 \)[/tex]:
[tex]\[ 2^4 = 16 \][/tex]
4. The calculated result for [tex]\( f(4) = 2^4 \)[/tex] is [tex]\( 16 \)[/tex].
5. The question asks if the output when the function [tex]\( f(x) = 2^x \)[/tex] is evaluated at [tex]\( x = 4 \)[/tex] is equal to 8:
[tex]\[ 16 \neq 8 \][/tex]
Based on this evaluation, the statement "When the function [tex]\( f(x) = 2^x \)[/tex] is evaluated for [tex]\( x = 4 \)[/tex], the output is 8" is:
False
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