Midterm Review F.4

Front

Which ordered pair could represent a y-intercept on a graph?

Back

(0, 4) - A y-intercept occurs where the graph crosses the y-axis, meaning the x-coordinate is 0.

Front

Name this parent function: f(x) = 2^x

Back

Exponential - This function grows rapidly as x increases.

Front

What is the y-intercept shown on the graph of the function f(x) = 2x - 2?

Back

(0, -2) - The y-intercept is found by evaluating f(0).

Front

What is the equation of the absolute value function?

Back

f(x) = |x| - The absolute value function outputs the non-negative value of x.

Front

Identify the graph with an x-intercept of 3 and a y-intercept of -1.

Back

The graph of the linear equation y = (1/3)x - 1.

Front

What does the term 'x-intercept' mean?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the y-coordinate is 0.

Front

What is the general form of a linear equation?

Back

y = mx + b - where m is the slope and b is the y-intercept.

Front

Define the term 'parent function'.

Back

A parent function is the simplest form of a function type, from which more complex functions can be derived.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

2 - The slope (m) indicates the steepness of the line.

Front

What does the term 'vertical shift' refer to in function transformations?

Back

A vertical shift moves the graph up or down without changing its shape.