What is the domain and range of -4.92x² + 17.96x + 575
1 answer:
The domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = -4.92x² + 17.96x + 575
The above function is a quadratic function and we know,
The quadratic function domain is all real numbers.
The domain of the function is all real numbers or
D ∈ R or (-∞, ∞)
The range:
From the graph of a function:
The maximum value of the graph:
f(1.825) = 591.39
So the range of the function:
R ∈ (591.39, ∞)
Thus, the domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)
Learn more about the function here:
#SPJ1
You might be interested in
Answer:
$126
Step-by-step explanation:
Given that:
Investment is done as per Simple interest.
Principal = $3000
Time for which the investment is to done = 7 years
Rate of interest = 6%
To find:
Interest earned when the investment matures?
Solution:
Formula for Simple Interest :
Where is the principal amount
is the Rate of Interest
is the time for which the investment is made
Putting the given values:
Therefore, the answer is:
Interest earned is <em>$126</em>.
Answer:
Step-by-step explanation:
Equation of a line is given as
Where,
m = slope of the line =
b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.
Let's find m and b to derive the equation for the line.
Use the coordinate pair of any two points on the line. Let's use the following,
=> on the line, when x = 0, y = -2
=> on the line, when x = 4, y = 1
Plug in the values and solve for m
b = -2 (the line intercepts the y-axis at this point)
Our equation would be =>