The number of members f(x) in a baseball club increased by 45% every year over a period of x years. The function below shows the
relationship between f(x) and x:
f(x) = 25(1.45)x
Which of the following graphs best represents the function?
Graph of f of x equals 1.45 multiplied by 25 to the power of x
Graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity
Graph of f of x equals 1.45 to the power of x
Graph of f of x equals 25 multiplied by 1.45 to the power of x
f(x) = 25(1.45)x
Which of the following graphs best represents the function?
Graph of f of x equals 1.45 multiplied by 25 to the power of x
Graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity
Graph of f of x equals 1.45 to the power of x
Graph of f of x equals 25 multiplied by 1.45 to the power of x
2 answers:
Answer:
The correct option is D) Graph of f of x equals 25 multiplied by 1.45 to the power of x
Step-by-step explanation:
Consider the provided function.
First draw the graph of the function with the help of the table.
x -1 0 1 2
f(x) 17.24 25 36.25 52.5625
The graph of the function is shown below:
The word form of the above function is:
The graph of function f(x) is equal to 25 multiply by 1.45 to the power of x.
Hence, the correct option is D) Graph of f of x equals 25 multiplied by 1.45 to the power of x
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Answers:
1)Tthe first answer is that as x increases the value of p(x) approaches a number that is greater than q (x).
2) the y-intercept of the function p is greater than the y-intercept of the function q.
Explanation:
1) Value of the functions as x increases.
Function p:
As x increases, the value of the function is the limit when x → ∞.
Since [2/5] is less than 1, the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 = -3.
While in the graph you see that the function q has a horizontal asymptote that shows that the limit of q (x) when x → ∞ is - 4.
Then, the first answer is that as x increases the value of p(x) approaches a number that is greater than q (x).
2) y - intercepts.
i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2
ii) The y-intercept of q(x) is read in the graph. It is - 3.
Then the answer is that the y-intercept of the function p is greater than the y-intercept of the function q.
1)Tthe first answer is that as x increases the value of p(x) approaches a number that is greater than q (x).
2) the y-intercept of the function p is greater than the y-intercept of the function q.
Explanation:
1) Value of the functions as x increases.
Function p:
As x increases, the value of the function is the limit when x → ∞.
Since [2/5] is less than 1, the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 = -3.
While in the graph you see that the function q has a horizontal asymptote that shows that the limit of q (x) when x → ∞ is - 4.
Then, the first answer is that as x increases the value of p(x) approaches a number that is greater than q (x).
2) y - intercepts.
i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2
ii) The y-intercept of q(x) is read in the graph. It is - 3.
Then the answer is that the y-intercept of the function p is greater than the y-intercept of the function q.