Function NotationSte

The function p(x) = -2(x - 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 apiece?

$28

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.

The function f(t) = 16t represents the scenario. The distance traveled depends on the amount of time Marlene rides her bike.

A hot air balloon descends to the ground. The function h(t) = 210 - 15t can be used to describe the altitude of the balloon as it approaches the ground. Which statement best describes the graph of the function that models the descent of the balloon?

The graph is continuous because there can be fractional values for time.

continous graph

a graph in the coordinate plane made up of connected lines or curves with no breaks

discrete graph

a graph that has a finite or limited number of data points

function notation

a notation that traditionally replaces the dependent variable in a function with f(x), where f represents the value of the dependent variable at a given independent value, x; function not limited to only these variables

Function

a relation in which each element of the domain is mapped to (paired with) exactly one element of the range

Consider the function represented by the equation 6c = 2p - 10. Write the equation in function notation, where c is the independent variable.

f(c) = 3c + 5

Which statements are true for the functions g(x) = x2 and h(x) = -x2 ? Check all that apply.

g(x) > h(x) for x = -1. For positive values of x, g(x) > h(x). For negative values of x, g(x) > h(x).

Which statement best describes the function h(t) = 210 - 15t?

h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

independent variable

the variable in a function that represents the input values; the first coordinate in the ordered pairs

Dependant variable

the variable in a function that represents the output values; the second coordinate in the ordered pairs

Why is function notation used

to generate points on a graph or find the value of the function for a specific value of x