Explain using the definition of function. No,
height is not a function of weight
, because two students weigh 165 pouncs (input) but have different heights (output). … Height is input and weight is output.
Is your height and weight on your birthday each year a function?
The correct answer is
a person’s age and his weight on his birthday each year
. When both the independent quantity (input) and the dependent quantity (output) are real numbers, a function can be represented by a coordinate graph.
Is height a function of time?
An object is thrown straight up from the top of a building h feet tall with an initial velocity of v feet per second. The height of the object as a function of time can be modeled by
the function h(t) = –16t2 + vt + h
, where h(t) is the height of the object (in feet) t seconds after it is thrown.
What must a function have?
A Function is Special
But a function has special rules: It
must work for every possible input value
. And it has only one relationship for each input value.
Can height be a function?
“
Height is a function of age
.” If we name the function f, we write “h is f of a” or, more simply, h = f(a).
What is the height number?
Height is
measure of vertical distance
, either vertical extent (how “tall” something or someone is) or vertical position (how “high” a point is). For example, “The height of that building is 50 m” or “The height of an airplane in-flight is about 10,000 m”.
How do you tell if a graph is a function?
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function.
If no vertical line can intersect the curve more than once
, the graph does represent a function.
How can you identify a function?
Determining whether a relation is a function on a graph is relatively easy by
using the vertical line test
. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.
How do you tell if it’s a function?
Use the vertical line test
to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Is the height of a rocket a function of time?
Question: The height of a rocket as a function of time is
h(t) = 60t^1.5
where h is in meters and t is in seconds. Air temperature is a function of height according to the function T(h) = 300 – h/m where m is a constant, T is measured in kelvins (K), and h in meters.
How do you express height as a function of time?
- let h(t) be in the A*sin(bt + c) + M form, where A = amplitude, b = 2π/k, k = 1/f, f = frequency, t = time (in seconds), c = the horizontal translation, and M = the midline.
- A = the diameter/2 = 7.
What is the relationship between height and time?
The increase in displacement (height/distance) each time is the reason that the time to fall increases with each trial. The following equation can illustrate this.
d=vit+12at2
, where d =displacement (distance/height), vi =initial velocity, a =acceleration, and t =time.
What is not a function?
Horizontal lines are functions that have a range that is a single value.
Vertical lines are not
functions. The equations y=±√x and x2+y2=9 are examples of non-functions because there is at least one x-value with two or more y-values.
What is function in real life situation?
understand various types of patterns and functional relationships
; … use symbolic forms to represent and analyze mathematical situations and structures; use mathematical models and analyze change in both real and abstract contexts.
What is a function explain?
function, in mathematics,
an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)
. Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
