Problem preview
F-IF.1 Warmup M1-019-A10-V01

Understand functions as mappings from inputs to exactly one output; connect f(x) to graph y=f(x).

Match a linear function rule to a graph description

Problem

Use the graph and the rule \(y~=~2x~+~3\) to identify the graph family, its defining features, and two check points from the rule.

Big Picture

What this problem is really about

Start by matching the rule’s structure to a familiar graph family. For a first-degree rule in slope-intercept form, the x-coefficient controls the rate of change and the constant locates the vertical intercept. We’ll verify those features by substituting two convenient inputs and checking that the resulting points lie on the rendered graph.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-IF.1
Category
Functions
Domain
Interpreting Functions
Objective
Understand functions as mappings from inputs to exactly one output; connect f(x) to graph y=f(x).
Problem type
Match a linear function rule to a graph description