Copy of Copy of Chapter 2 practice

If [math]f(x)=x^2-x+1[/math], which of the values below equal [math]f(-3)[/math]?

Some values of the function [math]f[/math]are shown in the table above. What is [math]f(f(3))[/math]?

The cost of staying at a hotel that costs $ [math]x[/math] a day for 40 days is expressed using the function [math]f(x)=40x+1,200[/math]. How much would the total fee be if the hotel room costs $200 a night?

The function [math]h[/math] is defined by [math]h(x)=6x-4[/math]. For which value of [math]x[/math] is [math]h(x)=-40[/math]?

The graph of [math]y=f(x)[/math] is shown above. [math]f(x)[/math] has [math]a[/math] [math]x[/math]-intercepts and [math]b[/math] [math]y[/math]-intercepts. What is [math]a+b[/math]?

To investigate the impact of overfishing, scientists have been monitoring the population of eel in the local fisheries. In a 2008 study, there were 5,209,236 eels in the local fisheries. Another study in 2016, found that the local population of eel had decreased to 4,622,756. On average, what is the decrease rate per year of the population of eel?

Let [math]f(x)=2x-13[/math] be a linear function. [math]g[/math] is another linear function parallel to [math]f[/math]. Given that [math]g(x)[/math] passes through [math](-4,1)[/math], which of the following functions is equal to [math]g[/math]?

The graph above shows [math]y=f(x)-5[/math]. Which of the following equations is equal to [math]f(x)[/math]?

Line [math]L_1[/math] is defined by [math]5x-25y=7[/math]. Line [math]L_2[/math] is perpendicular to [math]L_1[/math] in the [math]xy[/math]-plane. What is the slope of [math]L_2[/math]?

[math]ax-6y=9[/math][math]x+5y=b[/math]
The solution to the given system of equations is [math](1,2)[/math] where [math]a[/math] and [math]b[/math] are constants. What is [math]a+b[/math]?

[math]\frac{1}{3}(y+2)=-5[/math][math]x-\frac{1}{3}(y+2)=-13[/math]
The system of equations above has the solution [math](x,y)[/math]. What is the value of [math]x[/math]?

Scientists are monitoring the population growth of Black caimans in the Amazon. An initial study found that there were 400 Black caimans per square kilometer. A follow-up study found that every 6 years the population of Black caimans double. 12 years after the initial study, how many Black caimans will there be?

[math]b(t)=2,872\cdot(0.87)^t[/math]
The function above can be used to model the number of bacteria surviving in a culture [math]t[/math] minutes after a fast acting antibiotic that is effective for only 6 minutes have been added. Which of the following best interprets the [math]y[/math]-intercept when [math]b(t)[/math] is graphed in a [math]ty[/math]-plane?

The term “go viral” can be used to describe an internet phenomenon where something gains popularity in exponential manner. The function above models the number of views an internet video has [math]t[/math] days after going viral. Which of the following functions best models the number of views the video has [math]h[/math] hours after going viral?

Gloria is hiking up a mountain trail. The function [math]h(t)=520+38t[/math] can be used to model the altitude she is at, in meters, after [math]t[/math] hours of hiking. What of the following is the best interpretation of 38 in this context?

In the [math]xy[/math]-plane, the line determined by the points [math](4,c)[/math] and [math](c,9)[/math] passes through the origin. What is the value of [math]c[/math]?

The function [math]p(x)[/math] is defined by [math]p(x+2)=4-x[/math]. What is the [math]y[/math]-intercept of [math]p(x)[/math]?

[math]8x+ay=4[/math][math]2x-y=b[/math]
The system of equations above has no solutions. Which of the following numbers [math]\textbf{cannot}[/math] be the summation of [math]a[/math] and [math]b[/math]?

Function [math]f[/math] is defined by [math]f(x)=a^{-x}+b[/math] where [math]a[/math] and [math]b[/math] are constants. If the [math]y[/math]-intercept of [math]f[/math] is [math]8[/math] and the summation of [math]a[/math] and [math]b[/math] is 10, what is [math]f(2)[/math]?

Function [math]f[/math] is defined by [math]f(x)=ax+b[/math] where [math]a[/math] and [math]b[/math] are constants. The [math]x[/math]-intercept of [math]f[/math] is [math]-2[/math]. If the [math]x[/math]-intercept of function [math]g(x)=f(x)+k[/math] is [math]4[/math], which of the following expressions is equal to [math]k[/math]?