Alg 1 Exponentials study guide

Which of the following represents an exponential model?

• $y=2x^2-12x+16$

• $4x-6y=7$

• x y
  0 1
  1 4
  2 16
  3 64

• x y
  -2 -4
  0 2
  1 5
  2 8

Tags

CCSS.HSF.LE.A.2

6. Consider the parent function  $f\left(x\right)=3^x$   .
A. The parent function is translated 4 units up. What is the equation of the translated function?

Tags

CCSS.HSF.BF.B.3

 Consider the parent function $f\left(x\right)=3^x$  
 The graph shows a  transformation of the parent function. What transformations would map the parent function onto the function shown?

Tags

CCSS.HSF.BF.B.3

Which function represents the transformation of f(x) to g(x) where $f(x)=5^x$  and is the black line

•  $g(x)=5^{\left(x-2\right)}-3$  

•  $g(x)=5^{(x+2)}-3$  

•  $g(x)=5^{(x+2)}$  

•  $g(x)=-5^{(x+2)}$  

8. Which expression represents function g(x) in terms of function f(x)? where  $f\left(x\right)=4^x$  is the black line

•  $f(x+3)+2$  

•  $f(x-2)+3$  

•  $f(x+3)-2$  

•  $f(x-3)-2$  

Tags

CCSS.HSF.BF.B.3

Which graph represents an even function?

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

. Consider the graph shown.

Which statements correctly describe the graph? SELECT ALL THAT APPLY

• $as\ x→-∞,\ f(x)→-10,\ as\ x→∞,\ f(x)→-∞$

• $as\ x→-∞,\ f(x)→-10,\ as\ x→∞,\ f(x)→∞$

• $as\ x→∞,\ f(x)→∞,as\ x→-∞,\ f(x)→-∞$

• $The\ equation\ of\ the\ asymptote\ is\ y=-10.$
  

Tags

CCSS.HSF-IF.C.7E

. Consider the graph shown.

Which statements correctly describe the graph? SELECT ALL THAT APPLY

• $Range\ is\ y>-10.$

• $The\ y-intercept\ of\ the\ function\ is\ at\ (0,-10).$
  

• The graph is decreasing (decay)
  

• X –Intercept exists

Tags

CCSS.HSF-IF.C.7E

Consider the following function  $f(x)=\left(\frac{1}{2}\right)^x-5$  .    Which of the following is TRUE

• The function only intersects the x-axis.

• The function only intersects the y-axis.

• The function intersects both axes.

• The function intersects neither axis.

Tags

CCSS.HSF-IF.C.7E

Consider the graph shown. Which function could model the graph?

• $f(x)=6(2)^x-2$

• $.f(x)=2\left(\frac{1}{6}\right)^x+2$

• $f(x)=2(6)^x-2$

• $f(x)=6(2)^x+2$

Tags

CCSS.HSF.LE.A.2