Unit 4 Review

Front

Evaluate f(x) = -3x + 2 for f(6).

Back

f(6) = -3(6) + 2 = -18 + 2 = -16.

Front

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

Back

The equation of the red graph is -f(x), which reflects the original function across the x-axis.

Front

What is the value of h(x) when x = 0 for h(x) = -x² + 5x + 6?

Back

h(0) = -0² + 5(0) + 6 = 6.

Front

Determine the end behavior of the function with the given graph: x→-∞; f(x)→+∞ and x→+∞; f(x)→-∞.

Back

As x approaches -∞, f(x) approaches +∞; as x approaches +∞, f(x) approaches -∞.

Front

On what interval is the graph decreasing?

Back

The graph is decreasing on the interval -∞ < x < 3.

Front

What is the definition of a function?

Back

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

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points in that interval, the function value at the second point is greater than at the first.

Front

What is the vertex of a quadratic function in the form h(x) = ax² + bx + c?

Back

The vertex can be found using the formula x = -b/(2a).

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, found by evaluating f(0).

Front

What does the term 'end behavior' refer to in graphing functions?

Back

End behavior describes how the values of a function behave as x approaches positive or negative infinity.