Functions, Topic 1 Review

Front

What is the range of a relation?

Back

The range of a relation is the set of all output values (y-values) that correspond to the input values (x-values) in the relation.

Front

Given the relation {(7,3),(5,6),(-2,-4),(-4,3)}, what is the range?

Back

{-4, 3, 6}

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

Find the y-intercept of the equation y = 3x + 8.

Back

(0, 8)

Front

What does f(x) represent in a function?

Back

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

Front

Evaluate f(4) for the function f(x) = x^2 - 5x.

Back

-4

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using algebraic operations.

Front

Solve for R in the equation a = (R + 5)/R.

Back

R = 5/(a - 1)

Front

What is the formula for a linear function?

Back

The formula for a linear function is y = mx + b, where m is the slope and b is the y-intercept.