Stretch or Compress Function Vertically: cf(x)
Read this topicExplanations 3
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Problems 22
- Let f(x)f(x)f(x) be a real function, and g(x)=2f(x)g(x) = 2f(x)g(x)=2f(x). Suppose the slope between points (a,f(a)),(b,f(b))(a,f(a)),(b,f(b))(a,f(a)),(b,f(b)) (on the graph y=f…
- Let f(x)f(x)f(x) be a real function, and g(x)=2f(x)g(x) = 2f(x)g(x)=2f(x). Suppose the minimum value of fff is mmm. What is the minimum value of ggg?
- Mark all equations below whose graphs can be obtained from the graph of y=x2−2x+3y = x^2 - 2x + 3y=x2−2x+3, by a combination of vertical scalings and/or reflections about the xx…
- True or False\text{True or False}True or False === If f(x)=x3f(x)=x^3f(x)=x3 and c=2c=2c=2 then cf(x)cf(x)cf(x) is graphed above.
- True or False\text{True or False}True or False === If f(x)=ln(x)f(x)=\ln(x)f(x)=ln(x) and c=12c=\frac12c=21 then cf(x)cf(x)cf(x) is graphed above.
- True or False\text{True or False}True or False === If f(x)=2x+1f(x)=2^x+1f(x)=2x+1 and c=4c=4c=4 then cf(x)cf(x)cf(x) is graphed above.
- True or False\text{True or False}True or False === If f(x)=ex−6f(x)=e^x-6f(x)=ex−6 and c=−13c=-\frac13c=−31 then cf(x)cf(x)cf(x) is graphed above.
- True or False\text{True or False}True or False === If f(x)={12x2−4≤x<0sin(x)0≤x≤4f(x)=\begin{cases}\frac12x^2&-4\leq x<0\\\sin(x)&0\leq x\leq4\end{cases}f(x)={21x2sin(x)−4≤x<…
- Which of the following equations represents a vertical stretch of the graph y=xy=\sqrt{x}y=x by a factor of two?
- Let f(x)=x2f(x) = x^2f(x)=x2. If c=8c=8c=8, what is cf(x)cf(x)cf(x)?
- Let f(x)f(x)f(x) be a linear function, and g(x)=12f(x)g(x) = \frac{1}{2}f(x)g(x)=21f(x). Suppose the yyy intercept of f(x)f(x)f(x) is 888. What is the yyy intercept of g(x)g(x)…
- Given f(x)=2x3+2f(x)=2x^3+2f(x)=2x3+2 and g(x)g(x)g(x) is f(x)f(x)f(x) vertically compressed by 444, what is g(x)g(x)g(x)?
- Which of the colored graphed functions above represent a vertical stretch of 333 from the green function?
- True or False\text{True or False}True or False === If a function is multiplied by any number in the interval (−1,0)∪(0,1)(-1, 0)\cup(0,1)(−1,0)∪(0,1) it is vertically stretched.
- Which of the following sentences describe what a vertical stretch looks like on a graph?
- Which of the colored graphed functions above is a vertical compression of the green function f(x)=sin(x)f(x)=\sin(x)f(x)=sin(x)?
- Which of the following tables show a vertical compression of the function represented in this table: x0123456789f(x)135791113151719\begin{array}{|l|l|} \hline x&0&1&2&3&4&5&6&7&…
- Which of the following tables show a vertical stretch of the function represented in this table: x0123456789f(x)135791113151719\begin{array}{|l|l|} \hline x&0&1&2&3&4&5&6&7&8&9\…
- Which of the following graphs represents the a function that is shifted down two, then reflected over the xxx-axis, then compressed vertically by a factor of 300300300? The orig…
- Select all the functions that satisfy this?
- Which of the following are examples of vertical stretches to the function f(x)=12x2+3x+4f(x)=12x^2+3x+4f(x)=12x2+3x+4?
- Which of the following functions are examples of a vertical compression of the function f(x)=12x4+24x2f(x)=12x^4+24x^2f(x)=12x4+24x2?