Illustrative Mathematics Algebra Unit 4 Mid

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

How do you represent a linear function?

Back

A linear function can be represented in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the vertical intercept of a graph represent?

Back

The vertical intercept shows the value of the function when the input (x) is zero.

Front

What does the horizontal intercept of a graph represent?

Back

The horizontal intercept shows the value of x when the function (f(x)) is zero.

Front

How do you find the value of a function at a specific point, such as f(-1)?

Back

To find f(-1), substitute -1 into the function's equation and solve for the output.

Front

What does the notation p(d) = 250 - 3d represent?

Back

This notation represents a function p that shows the number of cases of paper remaining after d days, starting with 250 cases and using 3 cases per day.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it shows how much the output changes for a unit change in the input.

Front

What does it mean if a function has no horizontal intercept?

Back

If a function has no horizontal intercept, it means that the function never reaches a value of zero for any input.

Front

What is the difference between m(2) < j(2) and m(5) = j(5)?

Back

m(2) < j(2) indicates that Mary's age at 2 years is less than John's age at 2 years, while m(5) = j(5) indicates that their ages are equal at 5 years.

Front

What is a decreasing function?

Back

A decreasing function is one where the output value decreases as the input value increases.