AFDA Final Exam

Front

What is a function?

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

How can you determine if a mapping is a function?

Back

A mapping is a function if every input has exactly one output. If any input has more than one output, it is not a function.

Front

What does the function f(x) = -16x^2 + 60x + 130 represent?

Back

This function models the height of an object in free fall after being launched, where x is the time in seconds.

Front

How do you find the time when an object hits the ground using a quadratic function?

Back

Set the function equal to zero and solve for x. This gives the time(s) when the height is zero.

Front

What is the mean of a data set?

Back

The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

Front

How do you calculate the mean of the data set: 82, 86, 88, 92?

Back

Add the numbers: 82 + 86 + 88 + 92 = 348. Then divide by 4 (the number of values): 348 / 4 = 87.

Front

What is the value of f(4) for the function f(x) = 10 - 2x^2?

Back

f(4) = 10 - 2(4^2) = 10 - 32 = -22.

Front

What is a y-intercept in a graph?

Back

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

Front

How do you identify the y-intercept from a graph?

Back

Look for the point on the graph where the x-coordinate is 0.

Front

What is the ordered pair for the y-intercept of a function?

Back

The ordered pair for the y-intercept is (0, y), where y is the value of the function when x = 0.