+0  
 
-1
297
2
avatar+851 

 

1. The graph of $y=f(x)$ is shown in red below. For how many values of $c$ is $f(c) = -1$? (Assume grid lines are spaced 1 unit apart.)

 

2. The graph of $y=f(x)$ is shown in red below. Assuming the graph consists of three line segments, what is $f(-2)$?  (Assume grid lines are spaced 1 unit apart.)

 

3. The graph of $y = h(x)$ is shown in red below. Compute $h(h(7))$. (Assume grid lines are spaced 1 unit apart.)

 

4. The graph of $y=f(x)$ is shown below in red. Given that $f$ is invertible, find $f^{-1}(4)$. (Assume grid lines are spaced 1 unit apart.)

 

5. What are the coordinates of the points where the graphs of $f(x)=x^3-x^2+x+1$ and $g(x)=x^3+x^2+x-1$ intersect? Give your answer as a list of points separated by semicolons, with the points ordered such that their $x$-coordinates are in increasing order. (So "(1,-3); (2,3); (5,-7)" - without the quotes - is a valid answer format.)

 

6. Let $a$ and $b$ be real numbers, where $a < b$, and let $A = (a,a^2)$ and $B = (b,b^2)$. The line $\(\overline{AB}\)$ (meaning the unique line that contains the point $A$ and the point $B$) has $x$-intercept $(-3/2,0)$ and $y$-intercept $(0,3)$. Find $a$ and $b$. Express your answer as the ordered pair $(a,b)$.

 

7. Find all points $(x,y)$ that are 13 units away from the point $(2,7)$ and that lie on the line $x - 2y = 10$. Give your answer as a list of points separated by semicolons, with the points ordered such that their $x$-coordinates are in increasing order. (So "(1,-3); (2,3); (5,-7)" - without the quotes - is a valid answer format.)

 

8. Assume that $f(3) = 4$. Name a point that must be on the graph of $y=f(x)+4$.

 

9. Assume that $f(3) = 4$. Name a point that must be on the graph of \(y=\tfrac12f\left(\tfrac{x}{2}\right)\).

Lightning  Jul 22, 2018
 #1
avatar+9738 
+1

 

1. The graph of $y=f(x)$ is shown in red below. For how many values of $c$ is $f(c) = -1$?

 

     4 values

 

 

laugh

Omi67  Jul 23, 2018
edited by Omi67  Jul 23, 2018
edited by Omi67  Jul 23, 2018
 #2
avatar+9738 
+1

4. The graph of $y=f(x)$ is shown below in red. Given that $f$ is invertible, find $f^{-1}(4)$.

 

5. What are the coordinates of the points where the graphs of $f(x)=x^3-x^2+x+1$ and $g(x)=x^3+x^2+x-1$ intersect? Give your answer as a list of points separated by semicolons, with the points ordered such that their $x$-coordinates are in increasing order. (So "(1,-3); (2,3); (5,-7)" - without the quotes - is a valid answer format.)

laugh

Omi67  Jul 23, 2018
edited by Omi67  Jul 23, 2018

24 Online Users

avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.