Question
Suppose that $f$ is a linear function, $f(1)=13$, and $f(4)=9$.If $f(3)=c$, then is $c$ less than 9 , between 9 and 13 , or greater than 13 ? Explain your answer.
Step 1
We are given two points on the line: $(1, 13)$ and $(4, 9)$. We can use these points to find the slope $m$: $m = \frac{9 - 13}{4 - 1} = \frac{-4}{3}$ Now we can plug one of the points into the equation to find the y-intercept $b$: $13 = -\frac{4}{3}(1) + b$ Show more…
Show all steps
Your feedback will help us improve your experience
James Kiss and 98 other educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Answer the question without finding the equation of the linear function. Suppose that $f$ is a linear function, $f(1)=13,$ and $f(4)=9 .$ If $f(3)=c,$ then is $c$ less than $9,$ between 9 and $13,$ or greater than $13 ?$ Explain your answer.
Exponential and Logarithmic Functions
Inverse Functions
Answer the question without finding the equation of the linear function. Suppose that $f$ is a linear function, $f(2)=7,$ and $f(5)=12 .$ If $f(4)=c,$ then is $c$ less than $7,$ between 7 and $12,$ or greater than 12 ? Explain your answer.
Find f(x) if f is a linear function that has given properties. f(-1)=1, f(3)=9 f(x)=
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD