IM Algebra 1 Unit 4 Assessment Review

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or rules for different parts of its domain.

Front

How do you determine if a function is piecewise?

Back

A function is piecewise if it has different rules for different intervals of its input values.

Front

What is the range of the function C for the movie theater pass?

Back

The range of function C is multiples of $5 from $5 to $25.

Front

What does the equation m = 40g represent?

Back

The equation m = 40g represents the distance in miles (m) that a car can travel using g gallons of gas.

Front

How do you find the number of gallons used if a car has traveled 170 miles?

Back

To find the gallons used, rearrange the equation m = 40g to g = m/40. For 170 miles, g = 170/40 = 4.25 gallons.

Front

What is the inverse function of c(n) = 50 + 4n?

Back

The inverse function gives the number of visits n if we know the monthly cost.

Front

What does the absolute value function |x| represent?

Back

The absolute value function |x| represents the distance of x from 0 on the number line, always yielding a non-negative result.

Front

What is the significance of the maximum number of movies in the theater pass?

Back

The maximum number of movies (15) limits the total cost for passholders, making it a key aspect of the piecewise function.

Front

What is the cost for watching the first 5 movies with the summer pass?

Back

The cost for watching the first 5 movies is $5 per movie, totaling $25.

Front

What is the cost for watching more than 5 movies with the summer pass?

Back

Watching more than 5 movies is free, up to a maximum of 15 movies.