Exploring Functions and Graphs

What is the definition of a function?

• A function is a random assignment of outputs to inputs.

• A function is a type of equation that does not relate inputs to outputs.

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

• A function can have multiple outputs for a single input.

How do you determine if a relation is a function?

• A relation is a function if each output can have multiple inputs.

• A relation is a function if it has multiple outputs for the same input.

• A relation is a function if it has no outputs for any input.

• A relation is a function if each input has exactly one output.

What is the domain of a function?

• The set of all possible input values for a function.

• The range of a function.

• The output values of a function.

• The graph of a function.

What is the range of a function?

• The set of all possible input values of a function.

• The formula used to calculate the output of a function.

• The set of all possible output values of a function.

• The difference between the highest and lowest output values.

How do you find the inverse of a function?

• Graph the function and reflect it over the line y=x.

• Differentiate the function with respect to x.

• Swap x and y, then solve for y.

• Add 1 to the function's output.

What does the graph of a linear function look like?

• The graph of a linear function is a curve.

• The graph of a linear function is a circle.

• The graph of a linear function is a zigzag line.

• The graph of a linear function is a straight line.

What is the slope-intercept form of a linear equation?

• y = b + mx

• y = mx - b

• y = m + bx

• y = mx + b

How do you identify the vertex of a quadratic function?

• The vertex can be found at (a, 0).

• The vertex is always at the origin (0,0).

• The vertex can be found at ( -b/(2a), f(-b/(2a)) ).

• The vertex is located at (b, 0).

What is the significance of the x-intercepts and y-intercepts?

• The x-intercepts show the maximum value of the function.

• The x-intercepts indicate where the function equals zero, and the y-intercepts indicate the function's value when x is zero.

• The y-intercepts indicate the slope of the function.

• The x-intercepts represent the function's average value.

How do transformations affect the graph of a function?

• Transformations do not change the graph at all.

• Transformations only affect the color of the graph.

• Transformations change the position, shape, and size of the graph of a function.

• Transformations only change the graph's color and not its shape.