Relations and functions

Front

Is the relation represented by the input-output mapping a function?

Back

Yes

Answer explanation

Yes, the relation is a function because it passes the vertical line test, meaning each input has only one corresponding output.

Front

Back

Yes

Answer explanation

The given relation is a function because each input value has a unique output value.

Front

Function

Back

Every input has only ONE output

Answer explanation

A function is a mathematical relationship where every input has only one output.

Front

Is the relation a function? Why.

Back

No, because the x-value 11 has two y-values pair with it.

Answer explanation

No, because the x-value 11 has two y-values paired with it. Each x-value should have only one y-value paired with it.

Front

Domain and range for the graph in interval notation?

Back

Answer explanation

The domain is all real numbers, and the range is all positive numbers. The correct choice is D: (-∞, ∞) for the domain and R: (0, ∞) for the range.

Front

What is my first step to find the discontinuities for this function?

Back

Factor the numerator and denominator

Answer explanation

To find the discontinuities, factor the numerator and denominator.

Front

Is the relation a function? Why.

Back

No, because the x-value 11 has two y-values pair with it.

Answer explanation

No, because the x-value 11 has two y-values paired with it.

Front

Is this mapping a function or not a function?

Back

Not a Function

Answer explanation

This mapping is not a function because it does not satisfy the criteria of a function, such as having a unique output for each input.

Front

Back

Answer explanation

The domain of f(x) = sqrt(2 - x) is (-∞, 2]. This is because the square root function is defined only for non-negative values, and 2 - x must be non-negative.

Front

Back

Answer explanation

The domain of f(x) = sqrt(x + 2) is [-2, infinity). This is because the square root function is defined for non-negative values, and x + 2 is always non-negative for x greater than or equal to -2.