Grade 11 Math

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean for a relation to be one-to-many?

Back

A one-to-many relation means that a single input can be associated with multiple outputs, which violates the definition of a function.

Front

How do you find the value of a function at a specific point, such as f(0) for f(x) = 5x - 4?

Back

To find f(0), substitute 0 for x in the function: f(0) = 5(0) - 4 = -4.

Front

What is the zero of a function?

Back

The zero of a function is the value of x that makes the function equal to zero.

Front

How do you solve for x in an equation like 3/(x + 3) + (x - 1)/5 = 4/5?

Back

To solve for x, first find a common denominator, combine the fractions, and then isolate x.

Front

What is a y-intercept in a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, which occurs when x = 0.

Front

How do you determine the y-intercept of the function f(x) = (2x + 6)/(x - 1)?

Back

To find the y-intercept, substitute x = 0 into the function: f(0) = (2(0) + 6)/(0 - 1) = -6.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

Front

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

Back

The slope indicates the rate of change of the function; it represents how much y changes for a unit change in x.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.