The slope of the line is 4/10
remember: rise over run
A rectangular field is five times as long as it is wide. If the perimeter of the field is 240 yards, what are the field's dime
2 answers:
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Answer:
The correct options are:
Option B) is never zero.
Option F) When x=0, y≠0
Step-by-step explanation:
Consider the provided function.
When we substitute x=0 in above function we get:
When we substitute x=-1 in above function we get:
When we substitute x=1 in above function we get:
The above function is exponential function which does not pass through the origin and the range of the function is a positive number.
The graph of the function is shown in figure 1.
Now consider the provided options.
Option A) is always greater than or equal to 1.
The option is incorrect as the value of the function is less than 1 for negative value of x.
Option B) is never zero
The option is correct.
Option C) When y=0, x=0
The option is incorrect.
Option D) When x=0, y=4
When x=0 the value of y is 1.
Thus, the option is incorrect.
Option E) is zero when x=0
When x=0 the value of is 1.
Thus, the option is incorrect.
Option F) When x=0, y≠0
The option is correct as 0≠1.
Answer:
Graph of the following function is attached with the answer.
Domain : ( - ∞ , + ∞ )
Range : ( 3 , + ∞ )
Step-by-step explanation:
Domain of any quadratic equation is from negative infinity to positive infinity under no restrictions.
So, Domain : ( - ∞ , + ∞ )
The Range of any function can be calculated easily if there is just one term with variable. The method to find Range by that method is explained with the example as follows:
- Range of x : ( - ∞ , + ∞ )
- Range of
: [ 0 , + ∞ ) as every square number is more than or equal to zero.
- Range of
: [ 0 , + ∞ ) as 0/2 = 0 and ∞/2 = ∞.
- Range of
: [ 3 , + ∞ ) as 0 + 3 = 3 and ∞ + 3 = ∞.
Therefore the Range of is [ 3 , + ∞ )
(NOTE <em>: [a,b] means all the numbers between 'a' and 'b' including 'a' and 'b'.</em>
<em>(a,b) means all the numbers between 'a' and 'b' excluding 'a' and 'b'.</em>
<em>(a,b] means all the numbers between 'a' and 'b' including only 'b' not 'a'.</em>
<em>[a,b) means all the numbers between 'a' and 'b' including only 'a' not 'b'.</em>
<em>{a,b} means only 'a' and 'b'.</em>
<em>{a,b] or (a,b} doesn't mean anything.</em> )
