Problem preview

F-IF.9 Warmup M3-028-A01-V02

Compare functions represented algebraically, graphically, numerically, or verbally.

Compare the value of two functions at a given input from different representations

Problem

At \(x~=~0\), use the \(y\text{-}\text{intercept}~3\) of graph \(f\) and evaluate \(g(x)~=~2^x\). Compare the \(\text{two}~\text{function}~\text{values}\).

Answer choices

Choose your path.

Preview only

Function f has the greater value because its y-intercept means f(0)=3, while g(0)=2⁰=1.

Function g has the greater value because g(0)=2 and the y-intercept of f is 3 at a different x-value.

Function g has the greater value because f has y-intercept 3, so that must be f(3), while g(0)=1.

The two functions have the same value because the y-intercept 3 means f(0)=2, and g(0)=2⁰=2.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

Curriculum context

Course: Math III
Standard: F-IF.9
Category: Functions
Domain: Interpreting Functions
Objective: Compare functions represented algebraically, graphically, numerically, or verbally.
Problem type: Compare the value of two functions at a given input from different representations