Alg 1 STAAR Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What does it mean to transform a function?

Back

Transforming a function involves changing its position, shape, or size on a graph, typically through operations like stretching, compressing, or shifting.

Front

What is the effect of multiplying a function by a constant?

Back

Multiplying a function by a constant (e.g., g(x) = k * f(x)) stretches or compresses the graph vertically. If k > 1, the graph stretches; if 0 < k < 1, it compresses.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. For a quadratic in the form y = ax^2 + bx + c, it is given by x = -b/(2a).

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function's output is zero (f(x) = 0). It represents the x-intercepts of the graph.

Front

What is a vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

How do you determine the slope of a linear function?

Back

The slope of a linear function is determined by the change in y over the change in x (rise/run) between any two points on the line.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, f(0)).