Function rule

Front

What is a function rule?

Back

A function rule is a mathematical expression that describes the relationship between input (x) and output (y) values in a function.

Front

What does 'f(x)' represent in a function?

Back

'f(x)' represents the output of the function for a given input value 'x'.

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

Front

What is the slope in the function rule y = mx + b?

Back

The slope (m) indicates how steep the line is and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the output of a function when given an input?

Back

Substitute the input value into the function rule and simplify to find the output.

Front

What is the output (y) when x = 0 in the function y = 3x + 1?

Back

y = 3(0) + 1 = 1.

Front

What is the function rule for a line that passes through the points (1, 4) and (2, 6)?

Back

The function rule is y = 2x + 2.

Front

If Molly's age is represented by 'm', how do you express Myles' age if he is 3 years older than Molly?

Back

Myles' age can be expressed as m + 3.

Front

What is the output of the function y = 2x + 1 when x = -1?

Back

y = 2(-1) + 1 = -1.