Algebra 1 Review 1

Front

Back

The leading coefficient is 7, which is the coefficient of the term with the highest degree (7x^3).

Front

Which of the following represents a function: {(3,5), (4,5), (5,5), (3,7)}, {(2,3), (4,6), (-2,7), (2,8)}, {(2,4), (3,6), (2,-3), (5,6)}, {(2,3), (4,5), (5,5), (7,5)}?

Back

The correct representation of a function is {(2,3), (4,5), (5,5), (7,5)} because each input (x-value) is unique.

Front

If f(x) = 4x + 5, what is f(-3)?

Back

f(-3) = 4(-3) + 5 = -12 + 5 = -7.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Which relation is NOT a function: 3x + 2y = 4 or y = 2x + 1?

Back

3x + 2y = 4 is NOT a function because it can have multiple y-values for a single x-value.

Front

What does it mean for a graph to be shifted 3 units to the right?

Back

It means that every point on the graph is moved 3 units to the right along the x-axis.

Front

Back

The vertex of the graph is (2, 4).

Front

What is the standard form of a quadratic function?

Back

Front

How do you determine if a relation is a function using a graph?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the direction of the graph's end behavior and the degree of the polynomial.