What is the domain of the exponential function shown below? f(x) = 5 • 3x
2 answers:
Answer:
Domain is (-∞,∞)
Step-by-step explanation:
Given f(x) is an exponential function
Domain is the set of x values for which the function is defined
For domain we need to check for the restriction of x
x can take any positive and negative values
there is no restriction for x because it is in exponent
So domain is set of all real numbers
Domain is (-∞,∞)
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To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:
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Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e.
.
So 0.000000016 expressed in scientific notation is 1.6x
, or in calculator notation 1.6E-8
We can conclude that the correct answers are <span>1.6E-8 and </span><span>1.6 × 10-8</span>
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e.
So 0.000000016 expressed in scientific notation is 1.6x
We can conclude that the correct answers are <span>1.6E-8 and </span><span>1.6 × 10-8</span>