CH 1 Review Flashcardizz

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is an x-intercept?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, meaning the value of y is zero.

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, meaning the value of x is zero.

Front

How do you find the x-intercept of the equation y = 2x + 1?

Back

Set y to 0: 0 = 2x + 1, solve for x: x = -0.5.

Front

How do you find the y-intercept of the equation y = 2x + 1?

Back

Set x to 0: y = 2(0) + 1, so the y-intercept is (0, 1).

Front

What is the vertex of the parabola represented by y = x^2 + 1?

Back

The vertex is the lowest point of the parabola, which is (0, 1) for this equation.

Front

What does the graph of y = x^2 + 1 look like?

Back

It is a parabola that opens upwards with its vertex at (0, 1).

Front

What is the significance of the coefficient in front of x^2 in a quadratic function?

Back

The coefficient determines the direction and width of the parabola: positive opens upwards, negative opens downwards.

Front

How do you evaluate y = 2x + 1 when x = 5?

Back

Substitute x with 5: y = 2(5) + 1 = 11.