Linear function: A function that graphs as a straight line, where the output changes at a constant rate with respect to the input. (see source content)
General form of linear function: The algebraic expression representing a linear function, written as y = mx + b, where m is the slope and b is the y-intercept. (see source content)
Slope (m): The rate of change of the function, indicating how much y increases or decreases for a unit increase in x. (see source content)
Y-intercept (b): The point where the line crosses the y-axis, representing the value of y when x = 0. (see source content)
Function notation g(x): A way to denote the output of a function g at a specific input x, meaning g(x) is the value of the function when x is substituted into the expression. (see source content)
1. What does evaluating a linear function at a specific x-value involve?
2. What is the explicit form of the function g(x) given in the context?
3. What is the primary role of the function g(x) = -3x + 4 in the context of its use?
Linear function — definition?
A function that graphs as a straight line.
Function notation g(x) — role?
Denotes the output of function g at x.
g(x) = -3x + 4 — coefficients?
-3 is the slope, 4 is the y-intercept.
Calculate g(1) — process?
Substitute 1 into g(x) and simplify.
g(1) — value?
1
Function substitution — mechanism?
Replacing x with a specific value in the function.
It covers the core concepts of Linear Function Evaluation and Substitution, organized by topic with the key definitions, explanations and takeaways, so it's easier to learn and remember.
Read the full study guide →The practice quiz has 5 multiple-choice questions, each with an explanation. Use it to check what you know and find your gaps.
Take the quiz (5 questions) →There are 10 flashcards on Linear Function Evaluation and Substitution, with a question on the front and the answer on the back. Try to recall each answer before you flip, and let spaced repetition bring back the ones you miss.
See all 10 flashcards →Upload a PDF or paste your notes. Revizly writes a study guide, a practice quiz and flashcards in about a minute.