Graphs of Piecewise Functions
Read this topicExplanations 3
- (Video) Graphing Piecewise Defined Functions by mathman1024 Here's a video by mathman1024 showing you how to graph piecewise functions. A piecewise function is made up of differ…
By Alex Federspiel, Anusha Rahman
- Now that we know what piecewise functions are, we can learn how to graph the function! In essence, what you're going to do is graph the individual pieces of the function based o…
By Anusha Rahman
- Graphing Piecewise Functions Now that we've learned the basics of piecewise functions, we can move forward into graphing these special types of functions. Graphing piecewise fun…
By Anusha Rahman
Problems 31
- If 0≤p≤10 \le p \le 10≤p≤1 and 0≤q≤10 \le q \le 10≤q≤1, define F(p,q)F(p, q)F(p,q) by F(p,q)=−2pq+3p(1−q)+3(1−p)q−4(1−p)(1−q).F(p, q) = -2pq + 3p(1-q) + 3(1-p)q - 4(1-p)(1-q).F(…
- Consider the piecewise linear function: f(x)={3x+10x≤−2ax+b−2<x<4x−12x≥4f(x) = \begin{cases} 3x+10 & x \le -2 \\ ax + b & -2 < x < 4 \\ x - 12 & x \ge 4 \end{cases}f(x)=⎩⎨⎧3x+1…
- Select the pieces of a piecewise function that matches the graph above.
- Select the pieces of a piecewise function that matches the graph above.
- Select the pieces of a piecewise function that matches the graph above.
- Select the pieces of a piecewise function that matches the graph above.
- Select the pieces of a piecewise function that matches the graph above.
- Select the pieces of a piecewise function that matches the graph above.
- Which Graph corresponds to the given function? f(x)={∣x∣ifx<25ifx≥2f(x)=\left\{\begin{matrix} |x|&if&x<2\\ 5&if&x\geq2 \end{matrix}\right.f(x)={∣x∣5ififx<2x≥2
- Which Graph corresponds to the given function? f(x)={x2ifx<0x+2ifx≥0f(x)=\left\{\begin{matrix} x^2&if&x<0\\ x+2&if&x\geq0 \end{matrix}\right.f(x)={x2x+2ififx<0x≥0
- Which Graph corresponds to the given function: f(x)={3ifx≤−2−x+1if−2<x≤13ifx>1.f(x)=\left\{\begin{matrix} 3&if&x\leq-2\\ -x+1&if&-2<x\leq1\\ 3&if&x>1. \end{matrix}\right.f(x)=⎩⎨…
- Let fff and ggg be continuous functions and ccc be a constant, and define the function hhh as follows: h(x)={f(x)x≤cg(x)x>ch(x) = \begin{cases} f(x) & x \le c \\ g(x) & x > c \e…
- What is the piecewise function for the graph above?
- True or False\text{True or False}True or False === The function {3x+6x≤−35−3<x<0−2x+50≤x<14x−121≤x<43−20x+1643≤x\\\begin{cases} 3x+6&x\leq-3\\ 5&-3<x<0\\ -2x+5&0\leq x<1\\ 4x-12…
- True or False\text{True or False}True or False === The function {2x+8−4≤x<−2−x+1−2≤x<0−12x+40≤x≤4\\\begin{cases} 2x+8&-4\leq x<-2\\ -x+1&-2\leq x<0\\ -\frac12x+4&0\leq x\leq 4 \…
- True or False\text{True or False}True or False === The function {3x+15−5≤x≤−32x+6−3<x<−1x+1−1≤x≤112x−121<x<314x−343≤x≤5\\\begin{cases} 3x+15&-5\leq x\leq-3\\ 2x+6&-3<x<-1\\ x+1&…
- True or False\text{True or False}True or False === The function {−4x−5−2≤x<02x−30≤x≤2−14x2<x≤4\\\begin{cases} -4x-5&-2\leq x<0\\ 2x-3&0\leq x\leq2\\ -\frac14x&2<x\leq 4 \end{cas…
- True or False\text{True or False}True or False === The function {−3x+6−3≤x<−2−2x+2−2≤x<−1−x−1≤x<0x0≤x<12x+21≤x<23x+62≤x<3\\\begin{cases} -3x+6&-3\leq x<-2\\ -2x+2&-2\leq x<-1\\ …
- True or False\text{True or False}True or False === The function y={2x+8x≤−2x2x>−2y=\begin{cases}2x+8&x\leq-2\\x^2&x>-2\end{cases}y={2x+8x2x≤−2x>−2 is graphed above.
- True or False\text{True or False}True or False === The function y={−2x−4x<2x2−2−2≤x<12x≥1y=\begin{cases}-2x-4&x<2\\x^2-2&-2\leq x<1\\2&x\geq1\end{cases}y=⎩⎨⎧−2x−4x2−22x<2−2≤x<…
- True or False\text{True or False}True or False === The function y={x2−4x<−2 or x>2−x2+4−2≤x<2y=\begin{cases}x^2-4&x<-2\text{ or }x>2\\-x^2+4&-2\leq x<2\end{cases}y={x2−4−x2+4x<…
- True or False\text{True or False}True or False === The function y={x2−2x≤−1x3−1<x<1xx≥1y=\begin{cases}x^2-2&x\leq-1\\x^3&-1<x<1\\x&x\geq1\end{cases}y=⎩⎨⎧x2−2x3xx≤−1−1<x<1x≥1 …
- Based on the graph of the function g(x)g(x)g(x) above, fill in the blank. When x=0x=0x=0, y=?y=?y=?
- What nerdy symbol does this piecewise make? y={2;2≤x≤83x−23+2;2<x≤5−3x+83+2;5<x<82+332;72<x<132−3x+53+2;72<x<53x−53+2;5<x<132y=\begin{cases} 2;&2\le x\le8\\ \sqrt3 x-2\sqrt3+2;&…
- You know that wheels need to be round, right? You decide that you want to challenge that assumption and create a bike with square wheels. In order for you to have a successful, …
- The chart above shows the percentage of the total population of the United States who voted in each Presidential election. Can you tell which year women received the right to vote?
- What nerdy symbol does this piecewise make? y={0;0≤x≤43x;0<x≤243−3x;2<x<4233+43−(x−2)2;233−43−(x−2)2;x={2;0<x<23\begin{align} y&=\begin{cases} 0;&0\le x\le4\\ \sqrt3 x;&0<x\leq2…
- In the graph above, when x=9x=9x=9, y=y=y=?
- In the graph above, when x=−2x=-2x=−2, y=y=y=?
- In the graph above, when x=4x=4x=4, y=y=y=?
- What is the piecewise function of the graph above?