Understanding Functions in Mathematics

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What is the function representing the amount of money the student can earn per week?

g(h) = 12h - 25

f(x) = 12x + 25 (correct)

h(x) = 40x - 25

f(t) = 25t + 12

In the context of the student's earnings, what does the domain of the function represent?

The amount of money the student can earn

The total amount of money earned by the student

The additional weekly allowance given by parents

The number of hours the student worked (correct)

What is the maximum amount that the student can earn per week?

$625

$25

$1200

$505 (correct)

What type of function shape does the function for water flow from a sprinkler have?

Quadratic Signup and view all the answers

Which variable in the water flow function is considered as the dependent variable?

Height of water Signup and view all the answers

What does the vertex of the parabola in the water flow function represent?

Maximum height reached by water Signup and view all the answers

How long is the water in the air in the context of the water flow function?

6 seconds Signup and view all the answers

What are the x-intercepts of a parabola called?

Roots Signup and view all the answers

What does a squared function shape form when graphed?

Parabola Signup and view all the answers

What is the domain of the function representing the student's earnings per week?

All real numbers greater than or equal to zero and less than or equal to 40 Signup and view all the answers

In the context of the student's earnings function, which variable is considered as the independent variable?

Number of hours worked Signup and view all the answers

What is the maximum range of earnings per week for the student based on the given function?

$25 to $505 Signup and view all the answers

What type of function shape does the function representing the student's earnings have?

Linear function Signup and view all the answers

What does the vertex of a parabola in the context of the student's earnings function represent?

The maximum amount the student can earn per week Signup and view all the answers

What is the dependent variable in the function representing the student's earnings per week?

Amount earned per week Signup and view all the answers

What shape does the graph of a parabola represent in the context of the water flow function?

A curve Signup and view all the answers

How is the vertex of a parabola calculated when in standard form?

-b/2a, f(-b/2a) Signup and view all the answers

What is the dependent variable in the function representing water flow from a sprinkler?

Time Signup and view all the answers

What are the x-intercepts of a parabola in relation to a function?

Points where y=0 Signup and view all the answers